The structure of blocks with a Klein four defect group.

DOI10.1007/s00209-010-0679-4zbMath1250.20002OpenAlexW2166851865MaRDI QIDQ543334

Radha Kessar, Markus Linckelmann, Charles W. Eaton, David A. Craven

Publication date: 17 June 2011

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://openaccess.city.ac.uk/id/eprint/1875/1/k4.pdf

zbMATH Keywords

Dade groupsendo-permutation modulessimple modulesPuig conjecturesource algebrassourcesinterior algebras\(p\)-blocks of finite groupsKlein four defect group

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Twisted and skew group rings, crossed products (16S35)

Related Items (18)

Towards Donovan's conjecture for abelian defect groups ⋮ Morita equivalence classes of blocks with elementary abelian defect groups of order 32 ⋮ Trivial source character tables of \(\mathrm{SL}_2(q)\) ⋮ On Picard groups of blocks of finite groups ⋮ Splendid Morita equivalences for principal blocks with generalised quaternion defect groups ⋮ On the lifting of the Dade group ⋮ REAL BLOCKS WITH DIHEDRAL DEFECT GROUPS REVISITED ⋮ 2-blocks whose defect group is homocyclic and whose inertial quotient contains a Singer cycle ⋮ On tensor products of simple modules for simple groups. ⋮ 2-blocks with abelian defect groups. ⋮ Blocks of normal subgroups, automorphisms of groups, and the Alperin-McKay conjecture. ⋮ Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups. ⋮ Splendid Morita equivalences for principal blocks with semidihedral defect groups ⋮ Morita equivalence classes of $2$-blocks of defect three ⋮ Blocks with defect group \(\mathbb{Z}_{2^n} \times \mathbb{Z}_{2^n} \times \mathbb{Z}_{2^m}\) ⋮ Splendid Morita equivalences for principal 2-blocks with dihedral defect groups ⋮ Simple modules for groups with Abelian Sylow 2-subgroups are algebraic. ⋮ Descent of equivalences for blocks with Klein four defect groups

Uses Software

• GAP
• GAP Character Table Library
• CTblLib

Cites Work

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