On \(K_ 3\) of \(\mathbb F_ q[t]/(t^ 2)\) and \(\mathbb F_ q[t]/(t^ 3)\)
type: Item
instance of: scholarly article
title: On \(K_ 3\) of \(\mathbb F_ q[t]/(t^ 2)\) and \(\mathbb F_ q[t]/(t^ 3)\)
zbMATH Open document ID: 0587.18005
DOI: 10.1016/0021-8693(86)90097-9
author: Janet Aisbett
author: Emilio Lluis-Puebla
author: Victor P. Snaith
published in: Journal of Algebra
publication date: 1986-01-01T00:00:00Z
review text: This paper extends earlier results of the authors by calculating \(K_ 3({\mathbb F}_ q[t]/(t^ i))\) for \(i=2,3\) and odd prime powers \(q\). Their results derive from group cohomology calculations coming from the Lyndon-Hochschild-Serre spectral sequence supplemented by some earlier work of van der Kallen and Stienstra.
Mathematics Subject Classification ID: 19D99
Mathematics Subject Classification ID: 18F25
zbMATH DE Number: 3941766
zbMATH Keywords: dual numbers
zbMATH Keywords: algebraic K-theory
zbMATH Keywords: \(K_ 3\)
zbMATH Keywords: Lyndon-Hochschild-Serre spectral sequence
reviewed by: Michael R. Stein
MaRDI profile type: Publication
full work available at URL: 0021-8693(86)90097-9
OpenAlex ID: W1978720490
cites work: On 𝐾_{∗}(𝑍/𝑛) and 𝐾_{∗}(𝐹_{𝑞}[𝑡]/(𝑡²))
cites work: Cohomology of Group Extensions
cites work: Q5648522
cites work: Calcul algébrique de l'homologie de certains groupes de matrices
cites work: Q3331389
cites work: On the cohomology and K-theory of the general linear groups over a finite field
cites work: Q3913502
description: scientific article; zbMATH DE number 3941766