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: | , , | 
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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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