Explicit inverse Shapiro isomorphism and its application
Group Theory
2024-10-23 v1
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.
Cite
@article{arxiv.2410.16885,
title = {Explicit inverse Shapiro isomorphism and its application},
author = {Andrei V. Zavarnitsine},
journal= {arXiv preprint arXiv:2410.16885},
year = {2024}
}