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Character ratios for finite groups of Lie type

Representations of Finite and Algebraic Groups April 09, 2018 - April 13, 2018

April 10, 2018 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Martin Liebeck (Imperial College, London)
Location: MSRI: Simons Auditorium
  • simple groups

  • Finite groups of Lie type

  • irreducible characters

  • character ratios

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification



A character ratio for a finite group G is a complex number of the form chi(g)/chi(1), where chi is an irreducible character of G. I shall discuss some recent results on character ratios for finite groups of Lie type, I shall also mention several diverse applications, to random walks, probabilistic generation, and representation varieties of some classes of infinite groups

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