Splendid Morita equivalences for the principal 2-blocks of 2-dimensional general linear groups in non-defining characteristic

DOI10.55937/SUT/1701068420zbMATH Open1540.20027MaRDI QIDQ6546097

Kyoichi Suzuki, Naoko Kunugi

Publication date: 29 May 2024

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

zbMATH Keywords

splendid Morita equivalencerelative stable equivalence of Morita type

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representations of finite groups of Lie type (20C33)

Cites Work

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• Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\).
• On saturated fusion systems and Brauer indecomposability of Scott modules.
• Transfer maps and virtual projectivity
• Relatively stable equivalences of Morita type for blocks
• Broué's Abelian defect group conjecture for the Held group and the sporadic Suzuki group.
• The Brauer indecomposability of Scott modules with wreathed 2-group vertices
• Splendid Morita equivalences for principal blocks with generalised quaternion defect groups
• Splendid Morita equivalences for principal 2-blocks with dihedral defect groups
• Stable equivalences of Morita type for self-injective algebras and \(p\)-groups
• Fusion systems on small \(p\)-groups.
• Representations of SL2(Fq)
• The q ‐Schur Algebra
• Relative projective covers and almost split sequences
• Splendid Morita equivalences for principal blocks with semidihedral defect groups
• Relative stable equivalences of Morita type for the principal blocks of finite groups and relative Brauer indecomposability

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