Large subgroups of simple groups

Tim C Burness, S. Hassan Alavi

Research output: Contribution to journalArticle (Academic Journal)peer-review

16 Citations (Scopus)
26 Downloads (Pure)

Abstract

Let G be a finite group. A proper subgroup H of G is said to be large if the order of H satisfies the bound |H|3⩾|G||H|3⩾|G|. In this note we determine all the large maximal subgroups of finite simple groups, and we establish an analogous result for simple algebraic groups (in this context, largeness is defined in terms of dimension). An application to triple factorisations of simple groups (both finite and algebraic) is discussed.
Original languageEnglish
Pages (from-to)187-233
Number of pages47
JournalJournal of Algebra
Volume421
DOIs
Publication statusPublished - 2015

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