Universal equivalence of general linear groups over local rings with 1/2

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Autore principale:	Kaleeva, Galina
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Group Theory Rings and Algebras
Accesso online:	Acceder al recurso
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author	Kaleeva, Galina
author_facet	Kaleeva, Galina
contents	In this study, it is proven that the universal equivalence of general linear groups (admitting the inverse-transpose automorphism) of orders greater than $2$, over local, not necessarily commutative rings with $1/2$, is equivalent to the coincidence of the orders of the groups and the universal equivalence of the corresponding rings.
format	Preprint
id	arxiv_https___arxiv_org_abs_2408_04079
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Universal equivalence of general linear groups over local rings with 1/2 Kaleeva, Galina Group Theory Rings and Algebras In this study, it is proven that the universal equivalence of general linear groups (admitting the inverse-transpose automorphism) of orders greater than $2$, over local, not necessarily commutative rings with $1/2$, is equivalent to the coincidence of the orders of the groups and the universal equivalence of the corresponding rings.
title	Universal equivalence of general linear groups over local rings with 1/2
topic	Group Theory Rings and Algebras
url	https://arxiv.org/abs/2408.04079

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