Some remarks on K2 and K3 of finite abelian group algebras

DOI10.1142/S0219498819500944zbMath1420.19003WikidataQ129729753 ScholiaQ129729753MaRDI QIDQ5383873

Guoping Tang, Hao Zhang, Hang Liu

Publication date: 20 June 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

group algebra\(K_3\)K-group\(K_2\)truncated polynomial algebra

Mathematics Subject Classification ID

Group rings (16S34) Computations of higher (K)-theory of rings (19D50) Symbols, presentations and stability of (K_2) (19C20)

Cites Work

• On the structure of \(K_2(\mathbb{Z}[C_2 \times C_2)\)]
• On the explicit structure of \(K_2(\mathbb{F} G)\) for \(G\) a finite abelian group and \(\mathbb{F}\) a finite field
• The relative \(K_ 2\) of truncated polynomial rings
• Explicit \(K_{2}\) of some finite group rings
• \(K_2\) of finite abelian group algebras
• Lower bounds for \(K_ 2^{top}({\hat {\mathbb{Z}}}_ p\pi)\) and \(K_ 2({\mathbb{Z}}\pi)\)
• Excision and \(K_ 2\) of group rings
• \(K_2\) of discrete valuation rings
• Lower bounds for the order of \(K_2(ZG)\) and \(Wh_2(G)\)
• Cyclic polytopes and the \(K\)-theory of truncated polynomial algebras
• On the explicit structure of \(K_2({\mathbb F}_pG)\) for \(G\) a finite abelian \(p\)-group
• On the cohomology and K-theory of the general linear groups over a finite field
• On the algebraic K-theory of truncated polynomial algebras in several variables
• On K 3 of Truncated Polynomial Rings
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