On Brauer's height zero conjecture.

DOI10.3792/pjaa.88.38zbMath1281.20012OpenAlexW2011384375WikidataQ123103952 ScholiaQ123103952MaRDI QIDQ431728

Masafumi Murai

Publication date: 30 June 2012

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

Full work available at URL: https://projecteuclid.org/euclid.pja/1330958574

zbMATH Keywords

finite groupsirreducible characters\(p\)-modular systemsBrauer height zero conjectureblock idealsDade projective conjecture

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (4)

Characters of relative \(p^\prime\)-degree over normal subgroups ⋮ On Brauer's height zero conjecture ⋮ Representation of finite groups: conjectures, reductions, and applications. ⋮ Arithmetic results on orbits of linear groups

Cites Work

• Unnamed Item
• Block induction, normal subgroups and characters of height zero
• Cancellation theorems related to conjectures of Alperin and Dade
• Extensions of nilpotent blocks
• Normal subgroups and heights of characters
• A remark on Brauer's height zero conjecture
• Brauer's height zero conjecture for the 2-blocks of maximal defect
• Brauer's Height Conjecture for p-Solvable Groups
• On Brauer’s height 0 conjecture
• Counting characters in blocks, II.

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