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arxiv: 1702.08012 · v2 · pith:VMKE2TIVnew · submitted 2017-02-26 · 🧮 math.RT · math.GR

Cuspidal characters and automorphisms

classification 🧮 math.RT math.GR
keywords charactersautomorphismscuspidalgroupsactionapplicationcertaincondition
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We investigate the action of outer automorphisms of finite groups of Lie type on their irreducible characters. We obtain a definite result for cuspidal characters. As an application we verify the inductive McKay condition for some further infinite families of simple groups at certain primes.

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