Hochschild cohomology of the integral group ring of the dihedral group. I: Even case

DOI10.1090/S1061-0022-08-01018-2zbMath1206.16008MaRDI QIDQ3079219

A. I. Generalov

Publication date: 2 March 2011

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

dihedral groupsintegral group ringsfree bimodule resolutionsHochschild cohomology algebra

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (6)

Hochschild cohomology for algebras of semidihedral type. VI: The family \(SD(2\mathcal{B})_2\) in characteristic different from 2 ⋮ Hochschild cohomology for algebras of semidihedral type. VII: Algebras with a small parameter ⋮ Hochschild cohomology of algebras of quaternion type. IV: Cohomology algebra for exceptional local algebras ⋮ Hochschild cohomology of algebras of semidihedral type. IV: The cohomology algebra for the family \(SD(2\mathcal B)_2(k,t,c)\) in the case \(c=0\). ⋮ Hochschild cohomology of algebras of dihedral type. VIII: Hochshild cohomology algebra for the family \(D(2\mathcal{B})(k, s, 0)\) in characteristic 2 ⋮ Hochschild cohomology ring of the modular group

Cites Work

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• The Hochschild Cohomology Ring of a Group Algebra
• The hochschild cohomology ring of a modular group algebra: the commutative case

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