On orders of elements of finite almost simple groups with linear or unitary socle

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Abstract

We say that a finite almost simple G with socle S is admissible (with respect to the spectrum) if G and S have the same sets of orders of elements. Let L be a finite simple linear or unitary group of dimension at least three over a field of odd characteristic. We describe admissible almost simple groups with socle L. Also we calculate the orders of elements of the coset Lτ, where τ is the inverse-transpose automorphism of L.

Original languageEnglish
Pages (from-to)1191-1222
Number of pages32
JournalJournal of Group Theory
Volume20
Issue number6
DOIs
Publication statusPublished - 1 Nov 2017

Keywords

  • AUTOMORPHIC EXTENSIONS
  • SPECTRA
  • FIELDS
  • RECOGNITION

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