Explicit \(K_{2}\) of some finite group rings

DOI10.1016/j.jpaa.2006.08.001zbMath1120.19002OpenAlexW2026893672MaRDI QIDQ872187

Bruce A. Magurn

Publication date: 27 March 2007

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.2006.08.001

zbMATH Keywords

\(K\)-theorygroup-algebra

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Derivations, actions of Lie algebras (16W25) Computations of higher (K)-theory of rings (19D50) Symbols, presentations and stability of (K_2) (19C20)

Related Items (7)

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 𝑁𝐾₀ of the group of quaternions ⋮ K₂of a Quotient Ring of ℤG ⋮ \(K_2\) of finite abelian group algebras ⋮ On K₂ of 𝔽_p[C_p²× C_p²]

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Induced representations and projective modules
• The relative \(K_ 2\) of truncated polynomial rings
• Lower bounds for \(K_ 2^{top}({\hat {\mathbb{Z}}}_ p\pi)\) and \(K_ 2({\mathbb{Z}}\pi)\)
• Polynomial extensions and excision for \(K_1\)
• \(K_2,K_3\) and nilpotent ideals
• \(K_2\) of discrete valuation rings
• Lower bounds for the order of \(K_2(ZG)\) and \(Wh_2(G)\)
• The relativization of \(K_2\)
• Explicit \(K_1\) of some modular group rings
• K-theory of finite groups and orders. Notes by E. Graham Evans
• On the cohomology and K-theory of the general linear groups over a finite field
• The cartan map for equivariant higher algebraic k-Groups
• Higher algebraic K-theory: I
• Introduction to Algebraic K-Theory. (AM-72)
• Algebraic \(K\)-theory.

This page was built for publication: Explicit \(K_{2}\) of some finite group rings