Trivial source bimodule rings for blocks and $p$-permutation equivalences

DOI10.1090/S0002-9947-08-04577-7zbMath1173.20005MaRDI QIDQ3617615

Markus Linckelmann

Publication date: 30 March 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Morita equivalencesdefect groupsblocksGrothendieck groupssource algebrastilting complexesfusion systemsisotypies\(p\)-permutation equivalences

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) Frobenius induction, Burnside and representation rings (19A22)

Related Items

On Isotypies Between Galois Conjugate Blocks ⋮ Broué's Abelian defect group conjecture holds for the sporadic simple Conway group \(Co_3\). ⋮ Brauer trees of unipotent blocks ⋮ The dominant dimension of cohomological Mackey functors ⋮ A ghost ring for the left-free double Burnside ring and an application to fusion systems ⋮ On stable equivalences and blocks with one simple module. ⋮ On blocks of defect two and one simple module, and Lie algebra structure of \(HH^1\) ⋮ Broué's Abelian defect group conjecture holds for the Harada-Norton sporadic simple group \(HN\). ⋮ On equivalences for cohomological Mackey functors ⋮ Descent of equivalences for blocks with Klein four defect groups ⋮ On stable equivalences with endopermutation source. ⋮ Galois descent of equivalences between blocks of 𝑝-nilpotent groups

Cites Work

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