Composition Factors of the Finite Groups Isospectral to Simple Classical Groups

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Abstract

Isospectral are the groups with coinciding sets of element orders.We prove that no finite group isospectral to a finite simple classical grouphas the exceptional groups of types $ E_{7} $ and $ E_{8} $ among its nonabelian composition factors.

Original languageEnglish
Pages (from-to)341-356
Number of pages16
JournalSiberian Mathematical Journal
Volume62
Issue number2
DOIs
Publication statusPublished - Mar 2021

Keywords

  • 512.542
  • element orders
  • exceptional group of Lie type
  • recognition by spectrum
  • simple classical group

OECD FOS+WOS

  • 1.01 MATHEMATICS

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