On the explicit structure of \(K_2({\mathbb F}_pG)\) for \(G\) a finite abelian \(p\)-group

DOI10.1016/j.jpaa.2012.01.013zbMath1270.19004OpenAlexW1622353146MaRDI QIDQ1934966

Hong Chen, Guoping Tang, Yu-Bin Gao

Publication date: 30 January 2013

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.2012.01.013

zbMATH Keywords

\(K\)-theoryDennis-Stein symbolsfinite group rings

Mathematics Subject Classification ID

Rings of differential operators (associative algebraic aspects) (16S32) Symbols, presentations and stability of (K_2) (19C20) Steinberg groups and (K_2) (19C99)

Related Items

On the structure of \(K_2(\mathbb{Z}[C_2 \times C_2)\)] ⋮ 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

Cites Work

• 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 \(K_ 2({\mathbb{Z}}\pi)\)
• Lower bounds for the order of \(K_2(ZG)\) and \(Wh_2(G)\)
• Unnamed Item