\(K_2\) of finite abelian group algebras

DOI10.1016/j.jpaa.2008.09.015zbMath1165.19001OpenAlexW1970044323MaRDI QIDQ1013093

Guoping Tang, Yu-Bin Gao

Publication date: 16 April 2009

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.09.015

zbMATH Keywords

finite abelian group\(K_2\)group algebra over a finite field

Mathematics Subject Classification ID

Steinberg groups and (K_2) (19C99)

Related Items (4)

On the explicit structure of \(K_2({\mathbb F}_pG)\) for \(G\) a finite abelian \(p\)-group ⋮ Some remarks on K2 and K3 of finite abelian group algebras ⋮ On the explicit structure of \(K_2(\mathbb{F} G)\) for \(G\) a finite abelian group and \(\mathbb{F}\) a finite field ⋮ On K₂ of 𝔽_p[C_p²× C_p²]

Cites Work

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• Explicit \(K_{2}\) of some finite group rings
• Lower bounds for \(K_ 2^{top}({\hat {\mathbb{Z}}}_ p\pi)\) and \(K_ 2({\mathbb{Z}}\pi)\)
• \(K_2\) of discrete valuation rings
• Lower bounds for the order of \(K_2(ZG)\) and \(Wh_2(G)\)
• Algebraic K-theory and crystalline cohomology

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