Explicit inverse Shapiro isomorphism and its application

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.

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Publication Details

Journal
Communications in Algebra
Published
2024-10-16
DOI
https://doi.org/10.1080/00927872.2024.2410863
Primary Topic
Advanced Algebra and Geometry
Type
article
Field-Weighted Citation Impact
0.00

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article

Explicit inverse Shapiro isomorphism and its application

Andrei V. Zavarnitsine
Communications in Algebra
Advanced Algebra and Geometry
article

Explicit inverse Shapiro isomorphism and its application

Andrei V. Zavarnitsine
article en

Abstract

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.

Communications in AlgebraVol. 53(4)
Sobolev Institute of Mathematics (RU)
Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences
Openalex Percentile: Top 70%
Advanced Algebra and Geometry
DOIOpen Access PDFOpenAlex
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Explicit inverse Shapiro isomorphism and its application — Andrei V. Zavarnitsine · Communications in Algebra (2024) | TGRS Research Map | TGRS