The involution width of finite simple groups

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Abstract

For a finite group generated by involutions, the involution width is defined to be the minimal k∈N such that any group element can be written as a product of at most k involutions. We show that the involution width of every non-abelian finite simple group is at most 4. This result is sharp, as there are families with involution width precisely 4.
Original languageEnglish
Pages (from-to)297–340
Number of pages44
JournalJournal of Algebra
Volume493
Early online date5 Oct 2017
DOIs
Publication statusPublished - 1 Jan 2018

Keywords

  • Finite simple groups
  • Character theory
  • Width questions

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