On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups

DOI10.1090/S0002-9947-02-02990-2zbMath1011.20008OpenAlexW1707903124MaRDI QIDQ4537395

Morton E. Harris, Markus Linckelmann

Publication date: 30 June 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-02990-2

zbMATH Keywords

Morita equivalencesdefect groupsendo-permutation modulesirreducible charactersblocksGlauberman correspondence\(p\)-solvable finite groupsisotypiesWatanabe correspondence

Mathematics Subject Classification ID

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

Related Items

An extension of Watanabe's theorem for the Isaacs-Horimoto-Watanabe corresponding blocks. ⋮ A characterisation of nilpotent blocks ⋮ A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups. ⋮ Glauberman-Watanabe corresponding $p$-blocks of finite groups with normal defect groups are Morita equivalent ⋮ A note on the Glauberman correspondence ⋮ Inertial blocks and equivariant basic Morita equivalences ⋮ On a theorem of Barker-Puig that refines Alperin's weight conjecture for blocks in \(p\)-solvable finite groups via Clifford theory. ⋮ On blocks of finite groups with central hyperfocal subgroups. ⋮ On the sources of simple modules in nilpotent blocks. ⋮ On the Brauer-Glauberman correspondence. ⋮ On the Glauberman correspondent of a block ⋮ The Glauberman correspondent of a nilpotent block of a finite group. ⋮ A Morita equivalence for blocks of finite p-solvable groups in the Glauberman–Isaacs–Watanabe correspondence context ⋮ Morita equivalences related to the Glauberman correspondence.

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