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arXiv · 2410.16885

Explicit inverse Shapiro isomorphism and its application

Andrei V. Zavarnitsine
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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.

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Andrei V. Zavarnitsine. 2024-10-22. Explicit inverse Shapiro isomorphism and its application. https://doi.org/10.1080/00927872.2024.2410863

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