Subgroup Structure and Representations of Finite and Algebraic Groups

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1 Scopus citations

Abstract

What can one say about maximal subgroups, or, more generally, the subgroup structure of simple, finite, or algebraic groups? In this survey, we will discuss how group representation theory helps us study this classical problem. These results have been applied to various problems, particularly in group theory, number theory, and algebraic geometry.

Original languageEnglish (US)
Pages (from-to)501-513
Number of pages13
JournalVietnam Journal of Mathematics
Volume43
Issue number3
DOIs
StatePublished - Sep 1 2015

Keywords

  • Classical groups
  • Maximal subgroups
  • Representation theory
  • Subgroup structure

ASJC Scopus subject areas

  • Mathematics(all)

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