A remark on blocks with dihedral defect groups in solvable groups

DOI10.1007/BF01215342zbMath0465.20007OpenAlexW2020157005MaRDI QIDQ1154535

Shigeo Koshitani

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/173155

zbMATH Keywords

block idealdihedral defect groupgroup algebra of a finite group

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items

The results of X. Chen and J. Zeng on linear p-Brauer characters ⋮ Rationality of eigenvalues of Cartan matrices in finite groups ⋮ On the loewy series of the group algebra of a finite p-solvable group with p-length>1^∗ ⋮ Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup ⋮ Representations of finite groups ⋮ Relations between complexity and modular invariants and consequences for p-soluble groups ⋮ Eigenvector matrices of Cartan matrices for finite groups. ⋮ REAL BLOCKS WITH DIHEDRAL DEFECT GROUPS REVISITED ⋮ Irreducible lattices belonging to integral blocks with dihedral defect groups in 2-solvable groups ⋮ Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups. ⋮ Splendid Morita equivalences for principal 2-blocks with dihedral defect groups ⋮ Irreducible lattices belonging to integral blocks with dihedral defect groups in 2-solvable groups ⋮ Cartan matrices for blocks of finite p-solvable groups with two simple modules

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• Endliche Gruppen I