Unoriented bordism for odd-order groups
type: Item
instance of: scholarly article
title: Unoriented bordism for odd-order groups
zbMATH Open document ID: 0672.57020
DOI: 10.1016/0166-8641(88)90047-8
published in: Topology and its Applications
publication date: 1988-01-01T00:00:00Z
review text: Using the fact that the Burnside ring of an odd-order group becomes a product of \({\mathbb{Z}}_ 2\) factors when reduced mod 2, the splittings of unoriented geometric and homotopical equivariant bordism rings of odd- order groups [\textit{C. Kosniowski}, Actions of finite abelian groups (1978; Zbl 0373.57018), \textit{R. J. Rowlett}, Trans. Am. Math. Soc. 246, 473-481 (1978; Zbl 0404.57026), \textit{R. E. Stong}, Notes on cobordism theory (1968; Zbl 0181.266)] are (re-)proved in an elegant way. The method gives fairly explicit results.
Mathematics Subject Classification ID: 57R85
Mathematics Subject Classification ID: 55N22
Mathematics Subject Classification ID: 57S17
Mathematics Subject Classification ID: 55N91
Mathematics Subject Classification ID: 55P91
Mathematics Subject Classification ID: 55Q91
zbMATH DE Number: 4100197
zbMATH Keywords: splittings of unoriented equivariant bordism rings of odd-order
zbMATH Keywords: groups
zbMATH Keywords: Burnside ring of an odd-order group
author: S. R. Costenoble
MaRDI profile type: Publication
full work available at URL: 0166-8641(88)90047-8
OpenAlex ID: W2004814301
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description: scientific article; zbMATH DE number 4100197