On the linear, symplectic and orthogonal K groups of \({\mathbb{Z}}/p^ 2{\mathbb{Z}}\) in dimensions 1 through 5
type: Item
instance of: scholarly article
title: On the linear, symplectic and orthogonal K groups of \({\mathbb{Z}}/p^ 2{\mathbb{Z}}\) in dimensions 1 through 5
zbMATH Open document ID: 0731.19002
DOI: 10.1016/0022-4049(91)90075-D
author: Steven Schlicker
published in: Journal of Pure and Applied Algebra
publication date: 1991-01-01T00:00:00Z
review text: The author extends the existing calculations of the cohomology of the special orthogonal groups \(SO(2n,{\mathbb{Z}}/p^ 2)\), where p is a prime. These calculations enable him to calculate the linear, symplectic and orthogonal algebraic K-groups of \({\mathbb{Z}}/p^ 2\) in dimensions \(\leq 5\) when p is a ``large prime''. These calculations augment the slender supply of K-theory calculations in high (i.e. greater than two!) dimensions. For the reader's convenience the paper includes an almost complete list of related K-theory calculations (together with an almost accurate chronology).
Mathematics Subject Classification ID: 19D50
Mathematics Subject Classification ID: 20J06
zbMATH DE Number: 4208350
zbMATH Keywords: algebraic K-theory
zbMATH Keywords: cohomology
zbMATH Keywords: special orthogonal groups
zbMATH Keywords: algebraic K- groups
reviewed by: Victor P. Snaith
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4208350