On the Dade character correspondence and isotypies between blocks of finite groups.

zbMath1232.20017MaRDI QIDQ601290

Atumi Watanabe

Publication date: 4 November 2010

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1285334476

zbMATH Keywords

finite groupsirreducible charactersblocksperfect isometriescharacter correspondencesDade correspondenceisotypies

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (1)

Survey on perfect isometries

Cites Work

• The Glauberman character correspondence and perfect isometries for blocks of finite groups
• A new approach to Glauberman's correspondence.
• A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups.
• On the isotypy induced by the Glauberman-Dade correspondence between blocks of finite groups.
• Isomorphisms of Clifford extensions
• Crossed products and blocks with normal defect groups
• Morita Equivalent Blocks in Non-Normal Subgroups and p -Radical Blocks in Finite 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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