Corpus ID: 104292165

Green functions and Glauberman degree-divisibility

  title={Green functions and Glauberman degree-divisibility},
  author={Meinolf Geck},
  • Meinolf Geck
  • Published 2019
  • Mathematics
  • The Glauberman correspondence is a fundamental bijection in the character theory of finite groups. In 1994, Hartley and Turull established a degree-divisibility property for characters related by that correspondence, subject to a congruence condition which should hold for the Green functions of finite groups of Lie type, as defined by Deligne and Lusztig. Here, we present a general argument for completing the proof of that congruence condition. Consequently, the degree-divisibility property… CONTINUE READING

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