On p-blocks with Abelian defect groups and inertial index 2 or 3. I
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Publication:1112166
DOI10.1016/0021-8693(88)90079-8zbMath0659.20008OpenAlexW4205724078MaRDI QIDQ1112166
Publication date: 1988
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-8693(88)90079-8
generalized characterssemidirect productfinite groupdefect groupinertial indexp-blocknumber of irreducible ordinary charactersnumber of ordinary Brauer characters
Related Items (17)
Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups ⋮ Cartan matrices and Brauer's \(k(B)\)-conjecture V ⋮ On p-blocks with Abelian defect groups and inertial index 2 or 3. II ⋮ 3-blocks with Abelian defect groups isomorphic to \(\mathbb Z_{3^m}\times\mathbb Z_{3^n}\). ⋮ Refinements of the orthogonality relations for blocks ⋮ The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups ⋮ A note on Olsson's conjecture. ⋮ Fusion systems on metacyclic 2-groups. ⋮ Survey on perfect isometries ⋮ Isotypies for the quasisimple groups with exceptional Schur multiplier ⋮ 2-blocks with minimal nonabelian defect groups. ⋮ Cartan matrices and Brauer's \(k(B)\)-conjecture. II. ⋮ On the Brauer-Feit bound for abelian defect groups. ⋮ On the principal blocks of finite groups with Abelian Sylow \(p\)-subgroups ⋮ Notes on \(p\)-blocks of characters of finite groups ⋮ The 2-blocks of defect 4 ⋮ Characterizations of blocks by Loewy lengths of their centers
Cites Work
- Local methods in block theory
- On generalized decomposition numbers and Fong's reductions
- A Frobenius theorem for blocks
- Characters and local structure in G-algebras
- On 2-blocks with quaternion and quasihedral defect groups
- Blocks with cyclic defect groups
- Some applications of the theory of blocks of characters of finite groups. IV
- On finite groups and their characters
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