Artin Groups Research Articles

The attitude of contemporary Iranian directors and screenwriters toward patients with mental disorders in comparison with general population

BackgroundMental disorders are accountable for 16% of global disability-adjusted life years (DALYs). Therefore, accessible, cost-effective interventions are needed to help provide preventive and therapeutic options. As directors and screenwriters can reach a great audience, they can use their platform to either promote stigma or educate the public with the correct definition and conception of mental disorders. Therefore, we aimed to measure the stigmatizing attitude of contemporary Iranian directors and screenwriters toward patients with mental disorders in comparison with a general population group.MethodsIn this comparative study, we included 72 directors and screenwriters between 18 and 65 years of age with a minimum involvement in at least one movie/television show, and 72 age and educationmatched controls. We collected the demographic data of the participants, and used the Persian version of the Level of Contact Report (LCR) to measure their familiarity with mental disorders, and used the Persian version of Social Distance Scale (SDS) and Dangerousness Scale (DS) to measure their attitude toward them.ResultsCompared to the general population group, directors and screenwriters had significantly lower SDS (12.51 ± 3.8 vs. 13.65 ± 3.73) and DS (12.51 ± 3.8 vs. 13.65 ± 3.73) scores (P < 0.001), indicating a more positive attitude toward patients with mental disorders. Familiarity with mental disorders was not significantly different between the groups. Female sex was associated with a more negative attitude among the directors and screenwriters group. Additionally, among the SDS items, ‘How would you feel about someone with severe mental disorder marrying your children?’ and ‘How would you feel about someone with severe mental disorder taking care of your children for a couple of hours?’ received the most negative feedback in both groups. And among the DS items, ‘there should be a law forbidding a former mental patient the right to obtain a hunting license’ received the most negative feedback in both groups.ConclusionsIranian contemporary directors and screenwriters had a more positive attitude toward patients with mental disorders, compared to general population. Due to this relatively positive attitude, this group of artists can potentially contribute to anti-stigma initiatives by offering educational materials and resources, promoting mental health care, and improving access to mental health care.

On virtual indicability and property (T) for outer automorphism groups of RAAGs

We give a condition on the defining graph of a right-angled Artin group, which implies that its automorphism group is virtually indicable, that is, it has a finite index subgroup that admits a homomorphism onto \mathbb{Z} . We use this as a part of a criterion that determines precisely when the outer automorphism group of a right-angled Artin group defined on a graph with no separating intersection of links has property (T). As a consequence, we also obtain a similar criterion for graphs in which each equivalence class under the domination relation of Servatius generates an abelian group.

Maternal and perinatal outcomes in twin pregnancies following assisted reproduction: a systematic review and meta-analysis involving 802462 pregnancies.

ART is associated with higher rates of twin pregnancies than singleton pregnancies. Whether twin pregnancies conceived following ART have additional maternal and neonatal complications compared with non-ART twin pregnancies is not known. The objective was to quantify the risk of adverse maternal and perinatal outcomes among twin pregnancies conceived following ART compared with non-ART and natural conception. Existing reviews vary in the reported outcomes, with many studies including triplet pregnancies in the study population. Therefore, we aimed to perform an up-to-date review with an in-depth analysis of maternal and perinatal outcomes limited to twin pregnancies. We searched electronic databases MEDLINE and EMBASE from January 1990 to May 2023 without language restrictions. All cohort studies reporting maternal and perinatal outcomes following ART compared with non-ART twin pregnancies and natural conception were included. Case-control studies, case reports, case series, animal studies, and in vitro studies were excluded. The Newcastle-Ottawa Scale was used to assess the methodological quality of the studies. Using random-effects meta-analysis, the estimates were pooled and the findings were reported as odds ratios (OR) with 95% CI. We included 111 studies (802462 pregnancies). Twin pregnancies conceived following ART were at higher risk of preterm birth at <34 weeks (OR 1.33, 95% CI 1.14-1.56, 29 studies, I2 = 73%), <37 weeks (OR 1.26, 95% CI 1.19-1.33, 70 studies, I2 = 76%), hypertensive disorders in pregnancy (OR 1.29, 95% CI 1.14-1.46, 59 studies, I2 = 87%), gestational diabetes mellitus (OR 1.61, 95% CI 1.48-1.75, 51 studies, I2 = 65%), and caesarean delivery (OR 1.80, 95% CI 1.65-1.97, 70 studies, I2 = 89%) compared with non-ART twins. The risks for the above maternal outcomes were also increased in the ART group compared with natural conception. Of the perinatal outcomes, ART twins were at significantly increased risk of congenital malformations (OR 1.17, 95% CI 1.05-1.30, 39 studies, I2 = 59%), birthweight discordance (>25% (OR 1.31, 95% CI 1.05-1.63, 7 studies, I2 = 0%)), respiratory distress syndrome (OR 1.32, 95% CI 1.09-1.60, 16 studies, I2 = 61%), and neonatal intensive care unit admission (OR 1.24, 95% CI 1.14-1.35, 32 studies, I2 = 87%) compared with non-ART twins. When comparing ART with natural conception, the risk of respiratory distress syndrome, intensive care admissions, and birthweight discordance >25% was higher among the ART group. Perinatal complications, such as stillbirth (OR 0.83, 95% CI 0.70-0.99, 33 studies, I2 = 49%), small for gestational age <10th centile (OR 0.90, 95% CI 0.85-0.95, 26 studies, I2 = 36%), and twin-twin transfusion syndrome (OR 0.45, 95% CI 0.25-0.82, 9 studies, I2 = 25%), were reduced in twin pregnancies conceived with ART versus those without ART. The above perinatal complications were also fewer amongst the ART group than natural conception. ART twin pregnancies are associated with higher maternal complications than non-ART pregnancies and natural conception, with varied perinatal outcomes. Women seeking ART should be counselled about the increased risks of ART twin pregnancies and should be closely monitored in pregnancy for complications. We recommend exercising caution when interpreting the study findings owing to the study's limitations.

A generalization of the Davis–Moussong complex for Dyer groups

A common feature of Coxeter groups and right-angled Artin groups is their solution to the word problem. Matthew Dyer introduced a class of groups, which we call Dyer groups, sharing this feature. This class includes, but is not limited to, Coxeter groups, right-angled Artin groups, and graph products of cyclic groups. We introduce Dyer groups by giving their standard presentation and show that they are finite-index subgroups of Coxeter groups. We then introduce a piecewise Euclidean cell complex \Sigma which generalizes the Davis–Moussong complex and the Salvetti complex. The construction of \Sigma uses simple categories without loops and complexes of groups. We conclude by proving that the cell complex \Sigma is \mathrm{CAT}(0) .

On the structure of finitely presented Bestvina–Brady groups

Right-angled Artin groups and their subgroups are of great interest because of their geometric, combinatorial and algorithmic properties. It is convenient to define these groups using finite simplicial graphs. The isomorphism type of the group is uniquely determined by the graph. Moreover, many structural properties of right-angled Artin groups can be expressed in terms of their defining graph. In this paper, we address the question of understanding the structure of a class of subgroups of right-angled Artin groups in terms of the graph. Bestvina and Brady, in their seminal work, studied these subgroups (now called Bestvina–Brady groups or Artin kernels) from a finiteness conditions viewpoint. Unlike the right-angled Artin groups the isomorphism type of Bestvina–Brady groups is not uniquely determined by the defining graph. We prove that certain finitely presented Bestvina–Brady groups can be expressed as an iterated amalgamated product. Moreover, we show that this amalgamated product can be read off from the graph defining the ambient right-angled Artin group.

Zassenhaus filtrations and right-angled Artin groups

We determine the restricted Lie algebra associated with the Zassenhauss filtration of a right-angled Artin group. We also provide another proof for a result of Koberda saying that the graph is uniquely determined by the first and second cohomology groups, together with the cup product, of the associated right-angled Artin group.

A mutual comparison of pregnancy outcomes between different conception modes: a propensity score matching based retrospective cohort study.

Assisted reproductive technology (ART) has been reported to have negative effects on maternal and neonatal health. Ovulation induction (OI) was reported to be associated with alteration of epigenetic modification of mice embryos, and extinguishing the influence of ovulation induction and in vitro operations on maternal and neonatal health will bring benefits for reducing side effects. The present study aimed to determine whether ovulation induction alone and ART are associated with adverse pregnancy outcomes and whether ART could induce a higher risk than ovulation induction alone. A total of 51,172 cases with singleton live birth between Jan 2016 and May 2019 at the International Peace Maternal and Child Health Hospital were included in this study. Conception modes documented during registration were classified into natural conception (NC), OI, and ART. Pregnancy outcomes of the three groups with balanced baseline characteristics by propensity score matching were compared. The relative risks of maternal and neonatal outcomes were calculated by logistic regression analysis. Compared with natural conception, infertility treatments are associated with gestational diabetes (OI: OR 1.72, 95% CI 1.31-2.27; ART: OR 1.67, 95% CI 1.26-2.20), preeclampsia/eclampsia (OI: OR 1.86, 95% CI 1.03-3.36; ART: OR 2.23, 95% CI 1.26-3.92). Even if gestational diabetes, gestational hypertension, and placental problems were adjusted, infertility treatments are associated with birth before 37 weeks (OI: OR 1.99, 95% CI 1.28-3.12; ART: OR 1.70, 95% CI 1.08-2.69), low birth weight (OI: OR 2.19, 95% CI 1.23-3.91; ART: OR 1.90, 95% CI 1.05-3.45), and SGA (OI: OR 2.42, 95% CI 1.20-4.87; ART: OR 2.56, 95% CI 1.28-5.11). ART but not OI is associated with a higher risk of birth before 34 weeks (OR:3.12, 95% CI 1.21-8.05). By comparing the OI group with the ART group, we only found that ART could induce a higher ratio of placental problems (5.0%, 26/518 vs 2.1%, 11/519, p<0.05). Both OI and ART are associated with adverse pregnancy outcomes. ART induced comparable negative effects with OI on gestational complications, birth weight, and premature birth (<37 weeks). However, ART resulted in a higher risk of placental problems than group NC and OI. The incidence of birth before 34 weeks of gestation in the ART group tends to be higher than in the OI group, but not statistically significant. The side effects of ART may originate from OI.

Classifying spaces for families of abelian subgroups of braid groups, RAAGs and graphs of abelian groups

Abstract Given a group $G$ and an integer $n\geq 0$ , we consider the family ${\mathcal F}_n$ of all virtually abelian subgroups of $G$ of $\textrm{rank}$ at most $n$ . In this article, we prove that for each $n\ge 2$ the Bredon cohomology, with respect to the family ${\mathcal F}_n$ , of a free abelian group with $\textrm{rank}$ $k \gt n$ is nontrivial in dimension $k+n$ ; this answers a question of Corob Cook et al. (Homology Homotopy Appl. 19(2) (2017), 83–87, Question 2.7). As an application, we compute the minimal dimension of a classifying space for the family ${\mathcal F}_n$ for braid groups, right-angled Artin groups, and graphs of groups whose vertex groups are infinite finitely generated virtually abelian groups, for all $n\ge 2$ . The main tools that we use are the Mayer–Vietoris sequence for Bredon cohomology, Bass–Serre theory, and the Lück–Weiermann construction.

Dehn functions of mapping tori of right-angled Artin groups

Abstract The algebraic mapping torus $M_{\Phi }$ of a group $G$ with an automorphism $\Phi$ is the HNN-extension of $G$ in which conjugation by the stable letter performs $\Phi$ . We classify the Dehn functions of $M_{\Phi }$ in terms of $\Phi$ for a number of right-angled Artin groups (RAAGs) $G$ , including all $3$ -generator RAAGs and $F_k \times F_l$ for all $k,l \geq 2$ .

Craftivism as Inquiry: Holding Life’s Threads

In this article, we share insights regarding an arts-based research project where carers of people with dementia conveyed their experiences in cloth. Carers face high rates of mental ill health and burnout, while forming a largely undervalued and unrecognised workforce. Through this project, carers’ knowledge was valued and amplified using an innovative methodology – craftivism. During a series of five workshops in 2021, a small group of carers, researchers and artists gathered online to develop an exhibition of craftivist textile works. They evoked the complexity of their makers’ journeys supporting loved ones at the end of life, finding joy and meaning despite grief and isolation. Making and crafting, together, we built community and highlighted the importance of the relationships at the heart of care: holding life’s threads. This article contributes to a growing literature surrounding arts-based methods in qualitative research, advocacy, and community life, while providing another platform to share and celebrate the stories of all those involved in the project.

The Artin monoid Cayley graph

In this paper, we investigate properties of the Artin monoid Cayley graph. This is the Cayley graph of an Artin group A_{\Gamma} with respect to the (infinite) generating set given by the associated Artin monoid A^+_{\Gamma} . In a previous paper, the first three authors introduced a monoid Deligne complex and showed that this complex is contractible for all Artin groups. In this paper, we show that the Artin monoid Cayley graph is quasi-isometric to a modification of the Deligne complex for A_{\Gamma} obtained by coning off translates of the monoid Deligne complex. We then address the question of when the monoid Cayley graph has infinite diameter. We conjecture that this holds for all Artin groups of infinite type. We give a set of criteria that imply infinite diameter, and using existing solutions to the word problem for large type Artin groups and 3-free Artin groups, we prove that the conjecture holds for any Artin group containing a 3-generator subgroup of one of these two types.

On homology torsion growth

We prove new vanishing results on the growth of higher torsion homologies for suitable arithmetic lattices, Artin groups and mapping class groups. The growth is understood along Farber sequences, in particular, along residual chains. For principal congruence subgroups, we also obtain strong asymptotic bounds for the torsion growth. As a central tool, we introduce a quantitative homotopical method called effective rebuilding. This constructs small classifying spaces of finite index subgroups, at the same time controlling the complexity of the homotopy. The method easily applies to free abelian groups and then extends recursively to a wide class of residually finite groups.

On the Σ$\Sigma$‐invariants of Artin groups satisfying the K(π,1)$K(\pi,1)$‐conjecture

AbstractWe consider ‐invariants of Artin groups that satisfy the ‐conjecture. These invariants determine the cohomological finiteness conditions of subgroups that contain the derived subgroup. We extend a known result for even Artin groups of FC‐type, giving a sufficient condition for a character to belong to . We also prove some partial converses. As applications, we prove that the ‐conjecture holds true when there is a prime that divides for any edge with even label , we generalize to Artin groups the homological version of the Bestvina–Brady theorem and we compute the ‐invariants of all irreducible spherical and affine Artin groups and triangle Artin groups, which provide a complete classification of the and properties of their derived subgroup.

ОБ ОДНОЙ ПРОБЛЕМЕ ВХОЖДЕНИЯ В НЕКОТОРЫХ АРТИНОВЫХ СТРУКТУРАХ

The problem of entering a subgroup is algorithmic, and its solution causes great difficulties in various classes of groups. The same applies to group structures. In this paper, the authors consider the solution of a special case of the general problem of occurrence in the socalled Artin structures. They have the structure of a tree, at the vertices of which there are Artin groups that have an extralarge or woody appearance. Previously, the problem of entering a subgroup generated by a single element was studied for such structures. The authors use methods based on a geometric approach based on the study of diagrams. A special case of the problem of entry is the entry into the socalled parabolic subgroup, that is, a subgroup in which some of the forming elements of the group are removed. The proposed methods make it possible to solve this problem more simply. The solution of the problem considered in the article in Artin groups has not been generally obtained.

Research on the creation and application of realistic animation on Northeast rural theme

With the continuous development of the needs of The Times, animation is no longer limited to entertainment art or specific audience groups, but should pay more attention to how to enrich its connotation. To popularize the development status of Northeast China’s rural areas and the living conditions of farmers through animation, and to popularize the development status of Northeast China’s rural areas and the living conditions of farmers through realistic animation will play its role in popular science. This practice also highlights the value and social responsibility of animation artists, and provides a broader space and innovation opportunities for the development of the animation field.

Mental Healthcare in Pediatrics During the COVID-19 Pandemic: A Call for International Public Health Action.

Public health measures associated with coronavirus disease 2019 (COVID-19), such as lockdowns and quarantine of suspected cases, can negatively affect children's mental health status. Although the current crisis provides personal growth and family cohesion opportunities, pitfalls appear to outweigh the benefits. The magnitude and quality of its impact on children depend on several factors, including anxiety, lack of social contact, and a reduced opportunity for stress regulation, along with an increased risk for parental mental health issues, child maltreatment, and domestic violence. Children with special needs and social disadvantages like trauma experiences, disabilities, pre-existing mental illness, e.g., autism spectrum disorders and hyperactivity, and low socioeconomic status, may be at higher risk in this context. Here, the potentials social support can provide for pediatrics, both healthy children and children with special needs, are reviewed after an overview of quarantine's adverse effects on this special population during a pandemic. The most common psychological issues associated with the COVID-19 pandemic are sleep disorders, mood swings, depression, anxiety, decreased attention, stress, irritability, anger, and fear. Moreover, the impact of COVID-19 on children's physical health includes weight gain, reduced physical activity, immune dysregulation, and cardiometabolic disorders. All support systems, involving parents, teachers/school counselors, pediatricians, mental healthcare workers, and Health and Art (HEART) groups, need to enter the scene and make their share of children's mental health care.

Yeats's Photographs and the World Theatre of Images

W. B. Yeats's dramatic career was transformed in the 1910s through a series of collaborations in London. In an essay from the period, “Certain Noble Plays of Japan,” he writes: “I have invented a form of drama, distinguished, indirect and symbolic.” This form, like many other modernist inventions, is better understood as something else, in this case the alchemy of his earlier work, some eclectic influences, and the contributions of his American, English, French, and Japanese collaborators. Together, this group of artists drew on Irish mythology, the occult, the continental avant-garde, and—as often has been stressed—Japanese noh. Originally, the “Certain Noble Plays” essay was published as an introduction to a related noh project, Ezra Pound's liberal completion of Ernest Fenollosa and Hirata Kiichi's incomplete translations. There have been at least four book-length studies on the relationship between Yeats and noh, as well as many theses and articles. It remains an exemplum of transnational modernist theatre.

Bergson’s Legacy among the Avant-Garde: Intuition, Aesthetics, and Political Ideology

In this article I will examine more closely why exactly Bergson’s philosophy of time and intuition proved so compelling to proponents of anarchist ideology, as interpreted by a key group of artists and activists affiliated with the London-based avant-garde movement known as Vorticism (1914-1918). As I demonstrate Bergson’s thought had special appeal among anarchists more generally because his process-oriented philosophy affirmed that movements’ ideological allegiance to notions of immediacy, affinity and prefigurative politics. Bergson’s philosophy enabled these radicals to reconceptualize ideology in terms of human psychology and social interactions, which in turn empowered the Vorticists’ to integrate art and aesthetics into their multivalent critique of the State. More broadly, this recasting of Bergson’s philosophy from an ideological perspective not only serves to distinguished the avant-gardes’ aesthetics from that of Bergson himself, it marks the crucial difference separating the era of the historical avant-garde from our own day, when Bergson’s thought no longer holds sway among contemporary political movements.

An Unauthorized Renaissance? An Analysis of Artists’ Claims for Copyright Infringement Against AI Generated Art and Possible Defenses

AI currently presents a novel issue in terms of copyright infringement, specifically AI generated art. Recently, a group of artists filed a class action lawsuit against several AI generated art companies. This comment evaluates the potential avenues the court may take. The artists allege these AI generated art companies directly infringed on their copyrighted works by making unauthorized copies of copyrighted works which they used to train their machine learning programs. A determination on whether AI generated art constitutes copyright infringement has not been made by the courts before. To bring a successful copyright infringement claim, a party must show proof of a valid copyright and actual infringement. Copying is considered an infringing act. There is currently a circuit split on whether downloading a copyrighted work constitutes copying. Should the court in the instant lawsuit follow the Seventh, Ninth, and D.C. Circuits, downloading unauthorized copies of copyrighted work to train machine learning programs would be copyright infringement. This comment evaluates a potential fair use defense the AI generated art companies may pursue and its viability. Lastly, the court may take into account policy considerations regarding innovation being stifled by AI generated art and unfair competition.

Research on the Construction of a Course-based System for College Student Art Groups

This paper employs a case study approach, drawing from the experiences and achievements in curriculum development within the Shanxi Technology and Business College art troupe, to explore methods and strategies for the establishment of a curriculum-based system within college student art troupes. The development of a curriculum-based system for college student art troupes represents a significant initiative for universities to strengthen and enhance aesthetic education. It contributes to the improvement of students' aesthetic awareness and humanistic qualities while fostering well-rounded, highly qualified individuals. As one of the pioneering institutions in implementing curriculum-based art troupe development, the university plays a pivotal role in guiding and exemplifying the construction of curriculum systems within college student art troupes.