The Glauberman character correspondence and perfect isometries for blocks of finite groups

DOI10.1006/jabr.1998.7779zbMath0936.20006OpenAlexW1997330893MaRDI QIDQ1305048

Atumi Watanabe

Publication date: 15 May 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7779

zbMATH Keywords

finite groupsdefect groupsirreducible characterscentral idempotentsprincipal blocks\(p\)-blocksperfect isometries\(p\)-modular systemsGlauberman correspondenceBrauer categoriesShintani descent

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items

Actions and characters in blocks., An extension of Watanabe's theorem for the Isaacs-Horimoto-Watanabe corresponding blocks., Shintani descent and perfect isometries for blocks of finite general linear groups., On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups, A note on perfect isometries between finite general linear and unitary groups at unitary primes, 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, On the Dade character correspondence and isotypies between blocks of finite groups., A note on the Glauberman correspondence, Simple proofs of some theorems in block theory of finite groups., Survey on perfect isometries, Isotypies for the quasisimple groups with exceptional Schur multiplier, Blocks of normal subgroups, automorphisms of groups, and the Alperin-McKay conjecture., On the isotypy induced by the Glauberman-Dade correspondence between blocks of finite groups., On the Brauer-Glauberman correspondence., On the Glauberman correspondent of a block, Glauberman correspondence of \(p\)-blocks of finite groups, 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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