A characterisation of nilpotent blocks
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Publication:3450057
DOI10.1090/proc/12646zbMath1344.20013arXiv1402.5871OpenAlexW1513232444MaRDI QIDQ3450057
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Publication date: 2 November 2015
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1402.5871
finite groupsdefect groupsirreducible charactersblockssource algebrasfusion systemshyperfocal subalgebrasfocal subgroup
Related Items (7)
Blocks with cyclic hyperfocal subgroups ⋮ The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups ⋮ Blocks with Frobenius inertial quotients ⋮ Character tables and defect groups ⋮ A conjecture on the hyperfocal subalgebras and normal hyperfocal subgroups ⋮ On blocks of defect two and one simple module, and Lie algebra structure of \(HH^1\) ⋮ A cohomological characterization of nilpotent fusion systems
Cites Work
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- Nilpotent blocks and their source algebras
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- Characters and local structure in G-algebras
- On the vertices of irreducible modules
- The hyperfocal subalgebra of a block
- Extensions of nilpotent blocks
- Hyperfocal subalgebras of blocks and computation of characters.
- Tate's and Yoshida's theorems on control of transfer for fusion systems
- Brauer's Height Conjecture for p-Solvable Groups
- Crossed products and blocks with normal defect groups
- On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups
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