Abelian supplements in almost simple groups
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.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.