On Brauer's \(k(B)\) problem

DOI10.1016/0021-8693(92)90215-8zbMath0796.20006OpenAlexW1970752182MaRDI QIDQ1188150

Geoffrey R. Robinson

Publication date: 13 August 1992

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(92)90215-8

zbMATH Keywords

heightfinite groupabelian defect groupinertial factor groupinvariants of \(p\)-blocknumber of characters

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (15)

An inequality of block invariants ⋮ Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ REGULAR ORBITS OF COPRIME LINEAR GROUPS IN LARGE CHARACTERISTIC ⋮ A note on Olsson's conjecture. ⋮ 2-blocks with minimal nonabelian defect groups. ⋮ Cartan matrices and Brauer's \(k(B)\)-conjecture. II. ⋮ Blocks with defect group \(D_{2^n}\times C_{2^m}\). ⋮ On the Brauer-Feit bound for abelian defect groups. ⋮ On blocks with abelian defect groups of small rank ⋮ Classifying blocks with abelian defect groups of rank 3 for the prime 2 ⋮ On the Number of Ordinary Irreducible Characters in ap-Block with a Minimal Nonabelian Defect Group ⋮ The 2-blocks of defect 4 ⋮ Extra special defect groups of order \(p^3\) and exponent \(p^2\). ⋮ Blocks with central product defect group 𝐷_{2ⁿ}∗𝐶_{2^{𝑚}} ⋮ On Brauer's problem 21

Cites Work

• On the number of characters in a \(p\)-block of a \(p\)-solvable group
• A note on the number of irreducible characters in a p-block of a finite group
• A Frobenius theorem for blocks
• On the number of characters in a p-block of a p-solvable group
• ON THE NUMBER OF IRREDUCIBLE CHARACTERS OF FINITE GROUPS IN A GIVEN BLOCK
• Fixed point free action with regular orbits.
• Unnamed Item

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