Abelian supplements in almost simple groups

Let G be an almost simple group with socle $G_0$ . In this paper we prove that whenever $G/G_0$ is abelian, then there exists an abelian subgroup A of G such that $G=AG_0$ . We propose a few applications of this structural property of almost simple groups.

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Bibliographic Details
Main Authors: Mauro Costantini, Andrea Lucchini, Daniele Nemmi
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424001609/type/journal_article
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