Radical 3-subgroups of the finite groups of Lie type E6

Jianbei An, Heiko Dietrich, Shih Chang Huang

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We consider the universal version of the finite exceptional group of Lie type G=E6 ε(q) with 3|q−ε, where E6 +1(q)=E6(q) and E6 −1(q)=2E6(q). We classify, up to conjugacy, the radical 3-subgroups of G. As an application, the essential 3-rank of the Frobenius category FD(G) is determined, where D is a Sylow 3-subgroup of G.

Original languageEnglish
Pages (from-to)4040-4067
Number of pages28
JournalJournal of Pure and Applied Algebra
Issue number12
Publication statusPublished - 1 Dec 2018


  • radical subgroups
  • finite groups of Lie type
  • exceptional type

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