2-blocks with abelian defect groups.

DOI10.1016/j.aim.2013.12.024zbMath1341.20006arXiv1305.5778OpenAlexW2073266461WikidataQ58940309 ScholiaQ58940309MaRDI QIDQ2445961

Radha Kessar, Benjamin Sambale, Burkhard Külshammer, Charles W. Eaton

Publication date: 15 April 2014

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.5778

zbMATH Keywords

Morita equivalencesnumbers of irreducible charactersblocksDonovan conjectureCartan invariantsfinite quasi-simple groupsBrauer correspondenceAbelian defect groups

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Related Items

On a minimal counterexample to Brauer's \(k(B)\)-conjecture, Towards Donovan's conjecture for abelian defect groups, Blocks with the hyperfocal subgroup \(\mathbb{Z}_{2^n}\times\mathbb{Z}_{2^n}\), Alperin weight conjecture and related developments, Morita equivalence classes of tame blocks of finite groups, Brou\'e's Conjecture for 2-blocks with elementary abelian defect groups of order 32, Morita equivalence classes of blocks with elementary abelian defect groups of order 32, Quasi-isolated blocks and the Alperin–McKay conjecture, Inertial blocks and equivariant basic Morita equivalences, The inductive blockwise Alperin weight condition for certain 2-blocks with abelian defect groups, The Alperin-McKay Conjecture for metacyclic, minimal non-abelian defect groups, Donovan's conjecture, blocks with abelian defect groups and discrete valuation rings, Loewy lengths of blocks with abelian defect groups, REAL BLOCKS WITH DIHEDRAL DEFECT GROUPS REVISITED, 2-blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle, Representations of finite groups. Abstracts from the workshop held April 16--21, 2023, Donovan’s conjecture and blocks with abelian defect groups, On Loewy lengths of blocks, Morita equivalence classes of $2$-blocks of defect three, Finite-dimensional algebras arising as blocks of finite group algebras, Donovan's conjecture and extensions by the centralizer of a defect group, Blocks with defect group \(\mathbb{Z}_{2^n} \times \mathbb{Z}_{2^n} \times \mathbb{Z}_{2^m}\), Classifying blocks with abelian defect groups of rank 3 for the prime 2, Blocks with transitive fusion systems, Domination of blocks, fusion systems and hyperfocal subgroups, Basic local representation theory, Rationality of blocks of quasi-simple finite groups, Characterizations of blocks by Loewy lengths of their centers

Uses Software

• GAP

Cites Work

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