On the explicit structure of \(K_2(\mathbb{F} G)\) for \(G\) a finite abelian group and \(\mathbb{F}\) a finite field

DOI10.1016/j.jalgebra.2014.10.021zbMath1307.19001OpenAlexW2041242138MaRDI QIDQ479753

Hong Chen, Yu-Bin Gao

Publication date: 5 December 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.10.021

zbMATH Keywords

algebraic K-theoryDennis Stein symbolfinite abelian group ringK2 group

Mathematics Subject Classification ID

Group rings (16S34) Symbols, presentations and stability of (K_2) (19C20)

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On the structure of \(K_2(\mathbb{Z}[C_2 \times C_2)\)] ⋮ Some remarks on K2 and K3 of finite abelian group algebras

Cites Work

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• Lower bounds for the order of \(K_2(ZG)\) and \(Wh_2(G)\)
• On the explicit structure of \(K_2({\mathbb F}_pG)\) for \(G\) a finite abelian \(p\)-group
• $ K_2$ for the simplest integral group rings and topological applications
• Introduction to Algebraic K-Theory. (AM-72)