Notes on \(p\)-blocks of characters of finite groups

DOI10.1016/0021-8693(91)90069-KzbMath0725.20008MaRDI QIDQ2277569

Atumi Watanabe

Publication date: 1991

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

zbMATH Keywords

rootsfinite groups\(p\)-blocksAbelian defect groupsinertial groupsmodular irreducible charactersunit subsections

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Modular representations and characters (20C20)

Related Items (13)

Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups ⋮ Brou\'e's Conjecture for 2-blocks with elementary abelian defect groups of order 32 ⋮ Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ Refinements of the orthogonality relations for blocks ⋮ A note on Olsson's conjecture. ⋮ The number of irreducible Brauer characters in a \(p\)-block of a finite group with cyclic hyperfocal subgroup. ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ On blocks of finite groups with central hyperfocal subgroups. ⋮ 2-blocks with minimal nonabelian defect groups. ⋮ On the Brauer-Feit bound for abelian defect groups. ⋮ On blocks with abelian defect groups of small rank ⋮ Blocks with defect group \(\mathbb{Z}_{2^n} \times \mathbb{Z}_{2^n} \times \mathbb{Z}_{2^m}\) ⋮ The 2-blocks of defect 4

Cites Work

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• A note on the number of irreducible characters in a p-block of a finite group
• On p-blocks with Abelian defect groups and inertial index 2 or 3. I
• Characters and local structure in G-algebras
• On 2-blocks with quaternion and quasihedral defect groups
• Fusion of \(\pi\)-subgroups, isometries, and normal complements
• Blocks with cyclic defect groups

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