A note on the Glauberman correspondence

DOI10.1080/00927872.2017.1412444zbMath1392.20004OpenAlexW2790493502MaRDI QIDQ4576692

Xueqin Hu

Publication date: 10 July 2018

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

Full work available at URL: https://doi.org/10.1080/00927872.2017.1412444

zbMATH Keywords

Morita equivalenceGlauberman correspondencenilpotent blocks

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Modular representations and characters (20C20)

Cites Work

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• The Glauberman correspondent of a nilpotent block of a finite group.
• Nilpotent blocks and their source algebras
• Character correspondences and irreducible induction and restriction
• On the local structure of Morita and Rickard equivalences between Brauer blocks
• The Glauberman character correspondence and perfect isometries for blocks of finite groups
• Extensions of nilpotent blocks
• Glauberman correspondents and extensions of nilpotent block algebras
• On the Glauberman and Watanabe correspondences for blocks of finite $p$-solvable groups
• Glauberman-Watanabe corresponding $p$-blocks of finite groups with normal defect groups are Morita equivalent
• Correspondences of Characters for Relatively Prime Operator Groups
• Glauberman correspondence of \(p\)-blocks of finite groups

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