An algebraic study of the Klein bottle
type: Item
instance of: scholarly article
title: An algebraic study of the Klein bottle
zbMATH Open document ID: 1362.18018
author: Larry A. Lambe
published in: Journal of Homotopy and Related Structures
publication date: 2017-01-17T00:00:00Z
review text: Denote by \(G\) the fundamental group of the Klein bottle. This article demonstrates, how to use the computer algebra system FriCAS to compute a resolution of \(\mathbb{Z}\) over the integer group ring of \(G\) and briefly presents the necessary mathematical background. From this resolution, the homology of the Klein bottle can be read off. Methods for manually deriving the same result have been explained in an earlier paper [\textit{L. Lambe}, J. Pure Appl. Algebra 84, No. 3, 311--329 (1993; Zbl 0766.55015)].
reviewed by: Hans-Peter Schröcker
Mathematics Subject Classification ID: 18G10
Mathematics Subject Classification ID: 55U15
Mathematics Subject Classification ID: 57T30
Mathematics Subject Classification ID: 68W30
Mathematics Subject Classification ID: 55-04
zbMATH DE Number: 6675378
zbMATH Keywords: Klein bottle
zbMATH Keywords: homological algebra
zbMATH Keywords: topology
zbMATH Keywords: strong deformation retraction
zbMATH Keywords: FriCAS
describes a project that uses: IBM Scratchpad
describes a project that uses: AXIOM
describes a project that uses: FriCAS
describes a project that uses: HAP
describes a project that uses: Asymptote
MaRDI profile type: Publication
full work available at URL: s40062-016-0156-9
OpenAlex ID: W2552547073
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DOI: 10.1007/S40062-016-0156-9
description: scientific article; zbMATH DE number 6675378