A Morita equivalence for blocks of finite p-solvable groups in the Glauberman–Isaacs–Watanabe correspondence context

DOI10.1515/JGT.2007.003zbMath1120.20003MaRDI QIDQ3432507

Morton E. Harris

Publication date: 17 April 2007

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

Morita equivalencesdefect groupsirreducible charactersblocksperfect isometriesGlauberman-Isaacs correspondenceendo-permutation lattices

Mathematics Subject Classification ID

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

Related Items (3)

Correspondences of isomorphism types of irreducible modules in finite group block theory. ⋮ Clifford Theory of a Finite Group that Contains a Defect 0p-Block of a Normal Subgroup ⋮ Morita equivalences related to the Glauberman correspondence.

Cites Work

• Character correspondences and irreducible induction and restriction
• The Glauberman character correspondence and perfect isometries for blocks of finite groups
• Correspondences and irreducible products of characters
• An extension of Watanabe's theorem for the Isaacs-Horimoto-Watanabe corresponding blocks.
• Characters of Solvable and Symplectic Groups
• On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups

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