Explicit inverse Shapiro isomorphism and its application

Fuente: arXiv
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Main Author: Zavarnitsine, Andrei V.
Format: Preprint
Published: 2024
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author Zavarnitsine, Andrei V.
author_facet Zavarnitsine, Andrei V.
contents We find an explicit form of the inverse isomorphism from Shapiro's lemma in terms of inhomogeneous cocycles and apply it to construct special nonsplit coverings of groups with a unique conjugacy class of involutions.
format Preprint
id arxiv_https___arxiv_org_abs_2410_16885
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Explicit inverse Shapiro isomorphism and its application
Zavarnitsine, Andrei V.
Group Theory
20E22, 20J06
We find an explicit form of the inverse isomorphism from Shapiro's lemma in terms of inhomogeneous cocycles and apply it to construct special nonsplit coverings of groups with a unique conjugacy class of involutions.
title Explicit inverse Shapiro isomorphism and its application
topic Group Theory
20E22, 20J06
url https://arxiv.org/abs/2410.16885