On the isotypy induced by the Glauberman-Dade correspondence between blocks of finite groups.

DOI10.1016/j.jalgebra.2007.12.017zbMath1194.20009OpenAlexW2004610404MaRDI QIDQ2474281

Fuminori Tasaka

Publication date: 5 March 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.12.017

zbMATH Keywords

finite groupsirreducible charactersblocksperfect isometriesGlauberman correspondencecharacter correspondencesDade correspondenceisotypies

Mathematics Subject Classification ID

Modular representations and characters (20C20)

Related Items (3)

A note on the Glauberman-Watanabe corresponding blocks of finite groups with normal defect groups. ⋮ On the Dade character correspondence and isotypies between blocks of finite groups. ⋮ Survey on perfect isometries

Cites Work

• Two remarks on irreducible characters of finite general linear groups
• Block extensions
• Isomorphic blocks
• Remarks on isomorphic blocks
• The Glauberman character correspondence and perfect isometries for blocks of finite groups
• Derived equivalences for group rings
• A new approach to Glauberman's correspondence.
• Shintani descent and perfect isometries for blocks of finite general linear groups.
• A Remark on Orthogonality Relations in Finite Groups
• Morita Equivalent Blocks in Non-Normal Subgroups and p -Radical Blocks in Finite Groups
• Characters of Solvable and Symplectic Groups
• Correspondences of Characters for Relatively Prime Operator Groups
• On a correspondence between blocks of finite groups induced from the Isaacs character correspondence
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