Blocks of normal subgroups, automorphisms of groups, and the Alperin-McKay conjecture.

DOI10.1215/21562261-2400319zbMath1328.20016OpenAlexW1969795357WikidataQ122956842 ScholiaQ122956842MaRDI QIDQ2450266

Masafumi Murai

Publication date: 19 May 2014

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1394804796

zbMATH Keywords

finite groupsdefect groupsnumbers of irreducible charactersblocksouter automorphism groupsnormal Sylow subgroups\(p\)-modular systemsBrauer correspondentsAlperin-McKay conjectureinertial groups

Mathematics Subject Classification ID

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

Related Items (3)

Tate–Shafarevich groups and algebras ⋮ Centers of Sylow subgroups and automorphisms ⋮ Some new parallels between groups and Lie algebras, or what can be simpler than multiplication table?

Cites Work

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