The McKay Conjecture for Finite Groups with Abelian Sylow 3-Subgroups

DOI10.1142/S1005386717000116zbMath1403.20009OpenAlexW2610071918WikidataQ123331211 ScholiaQ123331211MaRDI QIDQ5267951

Zhenye Li, Zhicheng Feng, Conghui Li

Publication date: 13 June 2017

Published in: Algebra Colloquium (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1005386717000116

zbMATH Keywords

McKay conjectureinductive McKay conditionabelian Sylow 3-subgroups

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Representations of finite groups of Lie type (20C33)

Related Items (3)

On composition factors andNS-supplemented subgroups ⋮ Unitriangular basic sets, Brauer characters and coprime actions ⋮ On the inductive blockwise Alperin weight condition for type \(\mathsf{A}\)

Cites Work

• The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes
• Characters of odd degree
• On the inductive Alperin-McKay and Alperin weight conjecture for groups with abelian Sylow subgroups.
• Equivariance and extendibility in finite reductive groups with connected center.
• A reduction theorem for the McKay conjecture.
• Inductive McKay condition in defining characteristic
• The Inductive McKay Condition for Simple Groups Not of Lie Type

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