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