Perfect Commuting Graphs

John R. Britnell, Nicholas Gill

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Abstract

We classify the finite quasisimple groups whose commuting graph is perfect and we give a general structure theorem for finite groups whose commuting graph is perfect.
Original languageEnglish
Number of pages25
JournalJournal of Group Theory
Volume20
Issue number1
DOIs
Publication statusPublished - 10 Jun 2016

Keywords

  • math.GR
  • 05C17, 20D05 (primary), 05C25 (secondary)
  • Commuting
  • Graphic methods
  • Finite groups
  • Verticies (Geometry)
  • Integers

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