On Brauer's \(k(B)\)-problem for blocks with metacyclic defect groups of odd order.

DOI10.1007/S00013-011-0265-YzbMath1233.20011OpenAlexW2044746795MaRDI QIDQ719675

Sheng Gao

Publication date: 11 October 2011

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-011-0265-y

zbMATH Keywords

defect groupsnumbers of irreducible characterscharactersblocksmetacyclic groupsBrauer \(k(B)\)-conjecture

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Related Items (4)

On the construction of irreducible characters in \(p\)-blocks with normal metacyclic defect groups. ⋮ 3-blocks with Abelian defect groups isomorphic to \(\mathbb Z_{3^m}\times\mathbb Z_{3^n}\). ⋮ The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups ⋮ On Olsson's conjecture for blocks with metacyclic defect groups of odd order.

Cites Work

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• ON THE NUMBER OF IRREDUCIBLE CHARACTERS OF FINITE GROUPS IN A GIVEN BLOCK
• CONTROL OF FUSION IN FUSION SYSTEMS
• Metacyclic Groups of Odd Order

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