Explicit inverse Shapiro isomorphism and its application

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.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2024-10
1. Verfasser: Zavarnitsine, Andrei V
Format: Artikel
Sprache:eng
Schlagworte:
Isomorphism
Mathematics - Group Theory
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2410.16885