On a minimal counterexample to the Alperin-McKay conjecture.

DOI10.3792/PJAA.87.192zbMath1237.20011OpenAlexW2027303355WikidataQ122937801 ScholiaQ122937801MaRDI QIDQ764647

Masafumi Murai

Publication date: 13 March 2012

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.87.192

zbMATH Keywords

finite groupsdefect groupsnumbers of irreducible charactersblocksheightsBrauer correspondentsirreducible constituentsAlperin-McKay conjecture

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Modular representations and characters (20C20)

Related Items (1)

Dade's ordinary conjecture implies the Alperin-McKay conjecture

Cites Work

• Dade's projective conjecture for \(p\)-solvable groups
• On a minimal counterexample to Dade's projective conjecture
• Extensions of nilpotent blocks
• A reduction theorem for the McKay conjecture.
• A remark on the Alperin-McKay conjecture.
• Counting characters in blocks, II.
• Brauer correspondence for covering blocks of finite groups
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