An upper bound for the representation dimension of group algebras with elementary abelian Sylow p-subgroups

DOI10.1080/00927872.2019.1632327zbMath1485.20008arXiv1802.07813OpenAlexW2962746954MaRDI QIDQ5216199

Simon F. Peacock

Publication date: 17 February 2020

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

Full work available at URL: https://arxiv.org/abs/1802.07813

zbMATH Keywords

group algebrarepresentation dimensionseparable equivalence

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Representation theory of groups (20C99)

Cites Work

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• The representation dimension of Hecke algebras and symmetric groups.
• On the indecomposable representations of a finite group
• Iyama's finiteness theorem via strongly quasi-hereditary algebras.
• On split, separable subalgebras with counitality condition
• Separable equivalence, complexity and representation type
• Representation dimension of exterior algebras
• Finite generation of Hochschild cohomology of Hecke algebras of finite classical type in characteristic zero
• Finiteness of representation dimension
• Separable equivalence of rings and symmetric algebras

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