On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the Abelian defect group conjecture

DOI10.1112/jlms/jdr047zbMath1264.20013arXiv1012.0534OpenAlexW3106423921WikidataQ123012636 ScholiaQ123012636MaRDI QIDQ2880399

Radha Kessar

Publication date: 13 April 2012

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

Full work available at URL: https://arxiv.org/abs/1012.0534

zbMATH Keywords

Morita equivalences defect groups blocks Broué conjecture stable equivalences Abelian defect group conjecture

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) Twisted and skew group rings, crossed products (16S35)

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Broué's isotypy conjecture for the sporadic groups and their covers and automorphism groups ⋮ Centers and radicals of group algebras and blocks ⋮ On blocks with one modular character ⋮ Groups of \(p\)-central type ⋮ Stable invariance of the restricted Lie algebra structure of Hochschild cohomology ⋮ On blocks of defect two and one simple module, and Lie algebra structure of \(HH^1\) ⋮ Finite-dimensional algebras arising as blocks of finite group algebras ⋮ On centers of blocks with one simple module ⋮ Unnamed Item

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