Abstract
In this study, we focus on the decomposition of a crossed square through its composition series by generalizing the Jordan-Hölder uniqueness theorem for groups. For this purpose, we discuss and modify the normality conditions on subcrossed squares and extend some results, such as the isomorphism theorems, the Zassenhaus (butterfly) lemma, and the Schreier refinement theorem, to crossed squares.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.