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The Alperin-McKay conjecture for the prime 2

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arxiv 2204.06373 v1 pith:VT72PQ7G submitted 2022-04-13 math.RT math.GR

Lucas Ruhstorfer This is my paper · ORCID
classification math.RTmath.GR
keywords alperin-mckayconjectureprimeblockscompleteconditionconsiderexceptional
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In this paper we consider the inductive Alperin-McKay condition for quasi-isolated 2-blocks of exceptional groups of Lie type. Thereby, we complete the proof of the Alperin-McKay conjecture for the prime 2.

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Cited by 1 Pith paper

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  1. On the local representation theory of symmetric groups

    math.RT 2025-06 conditional novelty 6.0 of 10

    Every irreducible character of a Sylow p-subgroup of a symmetric group is encoded by a labeled tree function, and the normalizer and Galois actions become simple relabeling and permutation rules on those functions.

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