Involutions in finite simple groups as products of conjugates

Daniele Dona, Martin W. Liebeck, Kamilla Rekvenyi

Research output: Contribution to journalArticlepeer-review

Abstract

Let G be a finite non-abelian simple group, C a non-identity conjugacy class of G, and Γ C the Cayley graph of G based on (Formula presented.). Our main result shows that in any such graph, there is an involution at bounded distance from the identity.

Original languageEnglish
Pages (from-to)3750-3761
Number of pages12
JournalCommunications in Algebra
Volume52
Issue number9
Early online date20 Mar 2024
DOIs
Publication statusE-pub ahead of print - 20 Mar 2024

Keywords

  • Cayley graphs
  • conjugacy classes
  • finite simple groups
  • involutions

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