Descent of splendid Rickard equivalences in alternating groups

DOI10.1016/J.JALGEBRA.2024.05.048MaRDI QIDQ6597502

Xin Huang

Publication date: 3 September 2024

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

zbMATH Keywords

alternating groupsblocks of group algebrassplendid Rickard equivalences

Mathematics Subject Classification ID

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Cites Work

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• Strengthening the McKay conjecture to include local fields and local Schur indices.
• Cartan matrices and Morita equivalence for blocks of the symmetric groups
• Derived equivalences for group rings
• On equivalences between blocks of group algebras: Reduction to the simple components
• Descent of equivalences for blocks with Klein four defect groups
• The strengthened Alperin-McKay conjecture for \(p\)-solvable groups.
• Derived equivalences for symmetric groups and \(\mathfrak{sl}_2\)-categorification.
• The McKay conjecture and Galois automorphisms.
• SYMMETRIC GROUPS, WREATH PRODUCTS, MORITA EQUIVALENCES, AND BROUÉ'S ABELIAN DEFECT GROUP CONJECTURE
• Another way to count characters
• On perfect isometries and isotypies in alternating groups
• Equivalences induced by graded bimodules
• Broué’s abelian defect group conjecture for alternating groups
• The Block Theory of Finite Group Algebras
• Virtual Morita equivalences and Brauer character bijections
• Descent of equivalences and character bijections
• The Broué invariant of a \(p\)-permutation equivalence

Related Items (1)

The Broué invariant of a \(p\)-permutation equivalence

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