Recognition of symplectic and orthogonal groups of small dimensions by spectrum

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3 Citations (Scopus)

Abstract

We refer to the set of the orders of elements of a finite group as its spectrum and say that finite groups are isospectral if their spectra coincide. In this paper, we determine all finite groups isospectral to the simple groups S6(q), O7(q), and O8+(q). In particular, we prove that with just four exceptions, every such finite group is an extension of the initial simple group by a (possibly trivial) field automorphism.

Original languageEnglish
Article number1950230
JournalJournal of Algebra and its Applications
Volume18
Issue number12
DOIs
Publication statusPublished - 1 Dec 2019

Keywords

  • orders of elements
  • recognition by spectrum
  • Simple classical group
  • FINITE SIMPLE-GROUPS
  • ELEMENTS
  • EXTENSIONS
  • RECOGNIZABILITY
  • ORDERS
  • SIMPLE EXCEPTIONAL GROUPS

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