April 17, 2024Open Access

Abelian supplements in almost simple groups

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Abstract

Let G be a finite almost simple group with socle G₀. In this paper we prove that whenever G/G₀ is abelian, then there exists an abelian subgroup A of G such that G=AG₀. We propose a few applications of this structural property of almost simple groups.

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Costantini et al. (Wed,) studied this question.

synapsesocial.com/papers/68e6ecccb6db643587667dd2 https://doi.org/https://doi.org/10.48550/arxiv.2404.11059

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