Hochschild Cohomology Ring of the Mod-2 Group Ring of the Generalized Quaternion Group

DOI10.1080/00927870600875914zbMath1109.16009OpenAlexW2139336453MaRDI QIDQ3422833

Takao Hayami

Publication date: 14 February 2007

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

Full work available at URL: https://doi.org/10.1080/00927870600875914

zbMATH Keywords

group ringsgeneralized quaternion groupscup productsHochschild cohomology rings

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

Hochschild Cohomology Ring of the Integral Group Ring of the Semidihedral 2-Group ⋮ Unnamed Item ⋮ On Hochschild cohomology ring and integral cohomology ring for the semidihedral group

Cites Work

• Hochschild cohomology algebra of abelian groups
• The Hochschild Cohomology Ring of a Group Algebra
• COHOMOLOGY RING OF THE GENERALIZED QUATERNION GROUP WITH COEFFICIENTS IN AN ORDER
• The hochschild cohomology ring of a modular group algebra: the commutative case
• On the hochschild cohomology of crossed products
• The mod 2 cohomology algebras of finite groups with dihedral sylow 2-subgroups
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