Perfect isometries for principal blocks with Abelian defect groups and elementary Abelian \(2\)-inertial quotients
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Publication:1372649
DOI10.1006/jabr.1997.7094zbMath0888.20007OpenAlexW2057663827MaRDI QIDQ1372649
Publication date: 14 December 1997
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1997.7094
finite groupsperfect isometriesBroué conjectureprincipal \(p\)-blocksAbelian Sylow subgroupsisotypiesDade conjecture
Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)
Related Items (2)
On the principal blocks of finite groups with Abelian Sylow \(p\)-subgroups ⋮ The Glauberman character correspondence and perfect isometries for blocks of finite groups
Cites Work
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- Local methods in block theory
- Counting characters in blocks. I
- Pointed groups and construction of modules
- A Frobenius theorem for blocks
- Pointed groups and construction of characters
- On perfect isometries and isotypies in finite groups
- Perfect isometries in the blocks with abelian defect of symmetric and sporadic groups
- Perfect isometries for blocks with abelian defect groups and cyclic inertial quotients of order \(4\)
- Perfect isometries and isotypies for blocks with abelian defect groups and the inertial quotients isomorphic to \(\mathbb{Z}_ 4\times\mathbb{Z}_ 2\)
- Perfect isometries and isotypies for blocks with Abelian defect groups and the inertial quotients isomorphic to \(\mathbf Z_ 3\times\mathbf Z_ 3\)
- Some applications of the theory of blocks of characters of finite groups. IV
- Crossed products and blocks with normal defect groups
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