Finite simple exceptional groups of Lie type in which all subgroups of odd index are pronormal

Anatoly S. Kondrat'ev, Natalia V. Maslova, Danila O. Revin

Research output: Contribution to journalArticlepeer-review

Abstract

A subgroup H of a group G is said to be pronormal in G if H and H g are conjugate in 〈 H, H g〉 for every g ∈ G. In this paper, we determine the finite simple groups of type E 6 (q) and E 6 2 (q) in which all the subgroups of odd index are pronormal. Thus, we complete a classification of finite simple exceptional groups of Lie type in which all the subgroups of odd index are pronormal.

Original languageEnglish
Pages (from-to)999-1016
Number of pages18
JournalJournal of Group Theory
Volume23
Issue number6
Early online date6 Aug 2020
DOIs
Publication statusPublished - 1 Nov 2020

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