The Alperin-McKay conjecture for the prime 2
Lucas Ruhstorfer
TL;DR
This paper proves the Alperin-McKay conjecture for the prime 2 by verifying the inductive condition for quasi-isolated 2-blocks of exceptional Lie type groups, completing the conjecture's proof for this prime.
Contribution
It establishes the inductive Alperin-McKay condition for all relevant blocks, thereby completing the proof of the conjecture for prime 2.
Findings
Proof of the Alperin-McKay conjecture for prime 2
Verification of the inductive condition for quasi-isolated 2-blocks
Completion of the conjecture's proof for exceptional groups
Abstract
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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Taxonomy
TopicsFinite Group Theory Research · Synthesis and Reactivity of Heterocycles · Algebraic structures and combinatorial models