The number of irreducible Brauer characters in a \(p\)-block of a finite group with cyclic hyperfocal subgroup.

DOI10.1016/J.JALGEBRA.2014.06.005zbMath1328.20018OpenAlexW2039211254MaRDI QIDQ404241

Atumi Watanabe

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.06.005

zbMATH Keywords

finite groupsblocksnumbers of irreducible Brauer characterscyclic hyperfocal subgrouphyperfocal subalgebras

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (13)

Blocks with the hyperfocal subgroup \(\mathbb{Z}_{2^n}\times\mathbb{Z}_{2^n}\) ⋮ The inductive Alperin-McKay and blockwise Alperin weight conditions for blocks with cyclic defect groups and odd primes ⋮ Blocks with cyclic hyperfocal subgroups ⋮ Loewy lengths of centers of blocks and exponents of defect groups ⋮ Refinements of the orthogonality relations for blocks ⋮ 2-blocks with abelian hyperfocal subgroup of rank 3 ⋮ Blocks with abelian defect groups of rank 2 and one simple module ⋮ On some saturated triples and hyperfocal subgroups ⋮ Survey on perfect isometries ⋮ A conjecture on the hyperfocal subalgebras and normal hyperfocal subgroups ⋮ Domination of blocks, fusion systems and hyperfocal subgroups ⋮ Orthogonal bases of Brauer symmetry classes of tensors for groups having cyclic support on non-linear Brauer characters ⋮ Isotypies for \(p\)-blocks with non-abelian metacyclic defect groups, \(p\) odd

Cites Work

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• Note on hyperfocal subalgebras of blocks of finite groups.
• Local methods in block theory
• A Frobenius theorem for blocks
• Pointed groups and construction of characters
• The hyperfocal subalgebra of a block
• A lifting theorem with applications to blocks and source algebras
• Notes on \(p\)-blocks of characters of finite groups
• Blocks with cyclic defect groups
• Crossed products and blocks with normal defect groups
• Lower defect groups
• Blocks and Simple Modules with Cyclic Vertices

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