Ordinary Character Research Articles

Finite Groups Containing No Blocks of Defect Zero

The irreducible characters of finite groups are always contained in blocks of defects which are nonnegative integers. Even though blocks always exist in finite groups, it is not the case that blocks of defect zero would always exist as well. Blocks of defect zero contain only one irreducible ordinary character each of defect zero and the defect group of blocks of defect zero is always the trivial subgroup of a finite group. Some finite groups do not have characters of defect zero and hence no blocks of defect zero either. The object in this paper is to study finite groups containing no blocks of defect zero. Finite abelian groups and p-groups will serve as special cases in this regard, with all blocks of finite abelian groups being of full/highest defect. We shall also determine an upper bound for the number of blocks in finite groups which contain no blocks of defect zero.

Applications for the groups S.U.T.(2,p) where p prime upper than 9

The problem of finding the cyclic decomposition (c.d.) for the groups ), where prime upper than 9 is determined in this work. Also, we compute the Artin characters (A.ch.) and Artin indicator (A.ind.) for the same groups, we obtain that after computing the conjugacy classes, cyclic subgroups, the ordinary character table (o.ch.ta.) and the rational valued character table for each group.

A Study of the Minor Nobodies in Rickshaw Boy

Minor characters usually refer to characters in novels with ordinary character settings and no background. This paper takes the specific writing of minor nobodies in Rickshaw Boy as the object of study. In terms of character categorization, the gender of minor nobodies is used as a criterion to make a simple distinction, and then the characters’ personality traits are analyzed in detail. Through character analysis, it is found that the number of female nobodies is relatively small, and the types of roles are relatively single, and among them, there is more emphasis on the role of disenfranchised women, which shows the tragic situation of women who lost their human rights at that time under the social environment. The role of male nobodies is more complex and three-dimensional, with both writing in individual roles and in group image, and the significance of writing is not confined to the role portrayal and the metaphor behind it, but also plays a role in promoting the development of the plot.

On the Fischer matrices of a group of shape 21+2n + :G

In this paper, the Fischer matrices of the maximal subgroup G = 21+8+ : (U4(2):2) of U6(2):2 will be derived from the Fischer matrices of the quotient group Q = G/Z(21+8+) = 28 : (U4(2):2), where Z(21+8+) denotes the center of the extra-special 2-group 21+8+. Using this approach, the Fischer matrices and associated ordinary character table of G are computed in an elegantly simple manner. This approach can be used to compute the ordinary character table of any split extension group of the form 21+2n+ :G, n ∈ N, provided the ordinary irreducible characters of 21+2n+ extend to ordinary irreducible characters of its inertia subgroups in 21+2n+:G and also that the Fischer matrices M(gi) of the quotient group 21+2n+ :G/Z(21+2n+) = 22n:G are known for each class representative gi in G.

Влияние традиционных и роботизированных игрушек на игру детей 3–4 лет

<p>Young children’s play needs toys, which are its object support and the main tools. Character toys are of particular importance the function of which is the substitution of a character, the embodiment of a role. New technical capabilities make it possible to create complex robotic toys capable of learning, autonomous movement, and reactions to interaction with them. However, the play potential of these toys has not been sufficiently studied. The purpose of this research is to study whether young children (3-4 years old) will play with a robot toy and whether this play will differ from playing with ordinary character toys. The work of P. Kahn et al. was used as the methodological basis of this research. The study included observing a play with two types of toys – a robotic and a stuffed dinosaur, a structured interview, and a classification of cards. The sample consisted of 30 children attending a state kindergarten. The results showed that children are significantly less likely and more monotonous to play with a robotic toy than with a traditional one. At the same time, they interact more with a robotic toy, study it more and are afraid of it as a living being. The results obtained allow us to raise the question of the category of this type of toy: they belong to robots but not to character toys.</p>

Мангуп-Дорос в фемный период истории

The modern reconstruction of the history of the fortified settlement atop Mangup mountain from the mid-ninth to the mid-eleventh century, when it was a part of the Byzantine theme in the Crimea, was developed by A. G. Gertsen in 1990. This article discusses the new materials obtained by recent years of archaeological research of the site which allow significant corrections to it. The review of archaeological objects and complexes from the mid-ninth to the mid-eleventh centuries uncovered in the ancient town shows that Mangup-Doros continued to be a large, well-fortified Byzantine fortress, with the main defensive line running along the outer edge of the Mangup plateau. Very important are the traces of big repairs and reconstructions of the fortification system discovered by excavations and dated from the mid-ninth and late tenth century. They indicate that maintaining the defensive system of the settlement was one of the main tasks assigned to the Byzantine commanders and the military contingent stationed there. The intra-fortress space was divided into two functional zones, residential and industrial buildings (up to 50% of the total area) and the unbuilt territory, which could be a refuge for the population of the neighbouring area. The excavations of residential areas indicate their ordinary character. As in the previous period, the basilica was topographic, ideological, and administrative centre of the settlement. Specifically, archaeological research has not discovered traces of the fortified centre (citadel) at Mangup, though such centre was typical of many towns and fortresses of the Byzantine Empire from the Middle Byzantine Period on. Throughout the Theme Period, the population of the town in question continued cattle-breeding and agriculture, with viticulture and commercial winemaking oriented to exportation gradually became specialized branches. The Byzantine administration controlled the winemaking, as evidenced by the finds of stationary winepresses in the habitable zone of the fortress.

Orthogonal stability

A character (ordinary or modular) is called orthogonally stable if all non-degenerate quadratic forms fixed by representations with those constituents have the same determinant mod squares. We show that this is the case provided there are no odd-degree orthogonal constituents. We further show that if the reduction mod p of an ordinary character is orthogonally stable, this determinant is the reduction mod p of the ordinary one. In particular, if the characteristic does not divide the group order, we immediately see in which orthogonal group it lies. We sketch methods for computing this determinant, and give some examples.

Supercharacter Table of Certain Finite Groups

‎Supercharacter theory is developed by P‎. ‎Diaconis and I‎. ‎M‎. ‎Isaacs as a natural generalization of the classical ordinary character theory‎. ‎Some classical sums of number theory appear as supercharacters which are obtained by the action of certain subgroups of GL_d(Z_n) on Z_n^d‎. ‎In this paper we take Z_p^d‎, ‎p prime‎, ‎and by the action of certain subgroups of GL_d(Z_p) we find supercharacter table of Z_p^d‎.

Calculation for the groups

The periodic segmentation for the groups are calculated in this work from the ordinary character table and the character table of rational representations for each group.

Periodical split for the groups

The ordinary character table and the character table of rational representations (c.t.o.r.r.) for projective special linear groups are calculated in this work to find the periodical split for each group.

On a maximal subgroup of the orthogonal group O⁺₈(3)

The orthogonal simple group 0 (3) has three conjugacy classes of maximal subgroups of the form 36:L4(3). These groups are all isomorphic to each other and each group has order 4421589120 with index 1120 in 0 (3). In this paper, we will compute the ordinary carácter table of one of these classes of maximal subgroups using the technique of Fischer-Clifford matrices. This technique is very efficient to compute the ordinary character table of an extension group Ḡ = N.G and especially where the normal subgroup N of Ḡ is an elementary abelian p-group. The said technique reduces the computation of the ordinary character table of Ḡ to find a handful of so-called Fischer-Clifford matrices of Ḡ and the ordinary or projective character tables of the inertia factor groups of the action of Ḡ on N.

Appreciation of Luo Hanlei's A Xing

"A-Xing" won the "Gold Award" at the Baijia Jinling Art Exhibition in 2011, and is a representative work of contemporary painter Luo Hanlei. Through careful observation and experience of daily life, she chose an ordinary character scene to vividly represent A Xing, a girl who lives by cultivation. This paper studies the work "A-Xing" in terms of the content of the picture, the topic selection, and the creation of artistic conception, so as to understand the painting style and artistic characteristics of Luo Hanlei's meticulous figure painting.

Cyclic Partition For The Groups Of PSL(2,41) And PSL(2,43)

The ordinary character table and the character table (cha.ta.) of rational representations (ra.repr.) for projective special linear groups (2,41) and (2,43) find in this work to find the cyclic partition for each group

A method of detecting defects of smart meter LCD screen based on LSD and deep learning

In order to detect the defects of smart meter liquid crystal display (LCD) screen quickly and accurately, this paper proposes a method based on line segment detector (LSD) and deep learning. Characters of smart meter LCD screen can be divided into two types: ordinary characters and digital tube characters. Convolutional neural network (CNN) is used to locate and identify the ordinary characters. Since there may be certain missing segment in digital tube characters, conventional text detection methods are not applicable, and template matching method is used for detecting them. Compared with the whole screen, the digital tube area is very small, and the relative positions of the digital tube characters of smart meter of most manufacturers are nearly the same, so the detection rate of the template matching method is extremely high and the method can be commonly used. The whole detection process is as follows: First, horizontal straight lines got by LSD are used for tilt correction. Secondly, CNN is used to locate and identify an ordinary character of the meter screen to determine whether it is missing or not. Then, whether there are missing segments in the digital tube area is determined by template matching method. At last, the experimental results show that the accuracy of the method for detecting the character defects of LCD screen is about 96%, and the accuracy of the electric quantity identification function of the method is about 97%.

On a two-fold cover 2.(2⁶˙G₂(2)) of a maximal subgroup of Rudvalis group Ru

The Schur multiplier M(Ḡ1) ≅4 of the maximal subgroup Ḡ1 = 2⁶˙G₂(2)of the Rudvalis sporadic simple group Ru is a cyclic group of order 4. Hence a full representative group R of the type R = 4.(2⁶˙G₂(2)) exists for Ḡ1. Furthermore, Ḡ1 will have four sets IrrProj(Ḡ1;αi) of irreducible projective characters, where the associated factor sets α1, α2, α3 and α4, have orders of 1, 2, 4 and 4, respectively. In this paper, we will deal with a 2-fold cover 2. Ḡ1 of Ḡ1 which can be treated as a non-split extension of the form Ḡ = 27˙G2(2). The ordinary character table of Ḡ will be computed using the technique of the so-called Fischer matrices. Routines written in the computer algebra system GAP will be presented to compute the conjugacy classes and Fischer matrices of Ḡ and as well as the sizes of the sets |IrrProj(Hi; αi)| associated with each inertia factor Hi. From the ordinary irreducible characters Irr(Ḡ) of Ḡ, the set IrrProj(Ḡ1; α2) of irreducible projective characters of Ḡ1 with factor set α2 such that α22= 1, can be obtained.

Il “privilegium fori” nel codice di Teodosio II

The article intends to present, briefly, one of the most important ecclesiastical privileges: privilegium fori, which is found in the Codex of Theodosius as a particular guarantee of the respect due to the sacred nature of clergy and freedom in the performance of their duties. According to this privilege, certain cases are removed from the jurisdiction of the State and devolved to the ecclesiastical judge, according to canonical discipline. It constitutes a form of personal immunity to civil law. By virtue of the privilegium fori, clergy must be tried only by ecclesiastical courts, to the exclusion of all others and without distinction of classes. This jurisdictional bond of clerigy to their own courts arises from a subjective delimitation of the judicial power of the Church and not from a privileged situation as it may be deduced from the expression with which it is known. If one understands that this is a privilege, then this is based on a mistaken premise, in other words, to attribute ordinary and universal character to State jurisdiction and special character to ecclesiastical jurisdiction, which leads to the qualification of the exemption from civil jurisdiction enjoyed by ecclesiastics as a personal privilege. The truth is very different, because the jurisdiction of the Church is its own, sovereign and autonomous, as derived from a Society that has the same characteristics. Moreover, jurisdiction being a correlative concept of the process, the independence of the canonical process carries with it that of ecclesiastical jurisdiction.

F. et Cs. avagy A’ Reményhez és A’ Pillangóhoz Fazekas-módra

In the article I demonstrate the connection between Fazekas and Csokonai through two poems. Fazekas’s Az érzékenységek énekben (The Senses in Song) was written in imitation of Csokonai’s A’ Reményhez, and A serdűlő bajuszhoz (To the Pubescent Moustache) was written similarly after Csokonai’s A’ Pillangóhoz, in these two poems by Fazekas Csokonai’s influence can be observed from formal characteristics through themes to intertextuality. However, this influence is not merely a copy of form, but it is an expression of Fazekas’s poetic irony and his polemic mentality with Csokonai. Both poems target the Lilla-affection and the love cult of sensitive poetry, as opposed to which, as poetic banter, Fazekas depicts on the one hand, an ordinary woman character who requites love, and on the other hand, a woman of easy virtue. The subtle irony is present on multiple levels in both poems due to the verbunkos (a Hungarian dance originated in military recruiting) and sensibility-classical melody.

¿Y aquí pasó algo? La banalidad de los lugares de muerte de la represión franquista

Durante la represión franquista muchos lugares pasarán a ser escenario de muertes. Algunos de estos han sido excavados en los últimos años con el objetivo de poder localizar e identificar restos de las víctimas, con mayor o menor intensidad, con mayor o menor fortuna. Las técnicas forenses (desde la arqueología hasta la medicina) han dado certeza, pero la localización exacta de los lugares de muerte no está siempre garantizada. En Galicia se cuenta con una densa topografía de muerte en un territorio de extensa urbanización e intenso uso, lo que conlleva a una convivencia y uso diario con los lugares. Una visita a estos lugares nos releva su carácter anodino, desconocido y ordinario. Estos paisajes de muerte testimonian entre la memoria y la desmemoria, la desaparición y otras formas de represión. Se propone la necesidad de mantener una memoria en tensión sobre la banalidad de los lugares.

Adsorption process for reducing heavy metals in Textile Industrial Effluent with low cost adsorbents

Heavy metals such as Lead (Pb), Chromium (Cr), Cadmium (Cd) , Copper (Cu), Zinc(Zn), Arsenic(As),Iron (Fe), Mercury (Hg), Magnesium (Mg) and Sulphur (S) are widely used for production of colour pigments of textile dyes. The colossal increase in the use of heavy metals over past few decades is a no doubt a necessary consequence of increased flux of metals in aquatic environment. Removal of these metallic substances has become inevitable to maintain a balance in ecosystem. Many methods are being implemented to remove Heavy metals, among these use of activated carbon have become a very competent process. But heavy cost of the activated carbon has made Heavy metal removal as a great concern. Many researchers have been conducted to remove heavy metals using different materials. Various adsorbents have been used to remove different type of heavy metal ions from wastewater especially those are harmful to mankind. This project work has compared about the efficiency of removing heavy metals by using activated carbon from Prosopis Juliflora bark. Prosopis Juliflora tree is widely known for its extra ordinary character for absorbing water. Activated carbon was prepared from the barks of Prosopis Juliflora by thermal and chemical process. The Textile effluent was collected from Erode area where large stretch of textile industries is situated to conduct the specific experiments. Batch experiments were conducted to analyze Heavy metal elements from the effluent. The results show that this low cost and eco-friendly adsorbents can effectively used for the removal of heavy metals.

Transición al empleo de personas con discapacidad intelectual en Canarias: el empleo con apoyo

One of the challenges of modern societies is the access to ordinary employment of people with intellectual disabilities. In this article: 1) We will present the existing measures in the Canary Islands regarding educational attention to students with intellectual disabilities. 2) We will analyze the resources available and the processes of transit to employment from the education system and from the entities linked to employment. 3) We will examine the role of special employment centers and occupational centers. 4) We will analyze the characteristics of the Supported Employment model for access to ordinary employment of people with significant disabilities. This model, created in the United States in the 70s, has demonstrated its effectiveness for the labor inclusion of people with significant disabilities. 5) We will describe the situation of the Employment with Support model in the Canary Islands, highlighting some good practice projects. The employment of people with intellectual disabilities in the Canary Islands remains an anecdotal fact, despite the available resources and the trajectory of different specialized entities. It is necessary to document experiences, encourage research, take care of the process of transition to adult life, match economic investment in employability resources of a protected nature with those of ordinary character. Finally, it is necessary to inform and raise awareness about the ability people with disabilities to contribute to the creation of more profitable and sustainable companies.