Hochschild Cohomology Ring of the Integral Group Ring of the Semidihedral 2-Group

DOI10.1142/S1005386711000150zbMath1214.16009MaRDI QIDQ3168895

Takao Hayami

Publication date: 27 April 2011

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

Full work available at URL: http://www.worldscinet.com/ac/18/1802/S1005386711000150.html

zbMATH Keywords

integral group ringscup productsHochschild cohomology ringssemidihedral groupsproduct formulae

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Cohomology of groups (20J06) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (7)

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 ⋮ Unnamed Item ⋮ On Hochschild cohomology ring and integral cohomology ring for the semidihedral group ⋮ Hochschild cohomology of the integral group ring of the semidihedral group. ⋮ Hochschild cohomology of algebras of semidihedral type. III: The family \(SD(2\mathcal B)_2\) in characteristic 2. ⋮ Hochschild cohomology ring of the modular group

Cites Work

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• The hochschild cohomology ring of a modular group algebra: the commutative case
• On the hochschild cohomology of crossed products

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