The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups

DOI10.1090/S0002-9939-2015-12637-8zbMath1365.20009arXiv1403.5153OpenAlexW2007131053WikidataQ58940299 ScholiaQ58940299MaRDI QIDQ2944780

Benjamin Sambale

Publication date: 8 September 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1403.5153

zbMATH Keywords

blockAlperin's weight conjectureAlperin-McKay conjecturefusion systemdefect group

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (2)

Problems on characters: solvable groups ⋮ Isotypies for \(p\)-blocks with non-abelian metacyclic defect groups, \(p\) odd

Cites Work

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• Large character heights, \(Qd(p)\), and the ordinary weight conjecture.
• Blocks with cyclic defect groups
• Defect groups in the theory of representations of finite groups
• Extra special defect groups of order \(p^3\) and exponent \(p^2\).
• DONOVAN CONJECTURE AND LOEWY LENGTH FOR PRINCIPAL 3-BLOCKS OF FINITE GROUPS WITH ELEMENTARY ABELIAN SYLOW 3-SUBGROUP OF ORDER 9
• Extending Brauer's Height Zero Conjecture to Blocks with Nonabelian Defect Groups
• On the Number of Ordinary Irreducible Characters in ap-Block with a Minimal Nonabelian Defect Group
• CONTROL OF FUSION IN FUSION SYSTEMS
• A characterisation of nilpotent blocks
• Lower defect groups
• On p-blocks of p-solvable groups
• Endliche Gruppen I

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