On p-blocks with Abelian defect groups and inertial index 2 or 3. I

DOI10.1016/0021-8693(88)90079-8zbMath0659.20008OpenAlexW4205724078MaRDI QIDQ1112166

Yoko Usami

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

zbMATH Keywords

generalized characterssemidirect productfinite groupdefect groupinertial indexp-blocknumber of irreducible ordinary charactersnumber of ordinary Brauer characters

Mathematics Subject Classification ID

Modular representations and characters (20C20)

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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