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The divisibility in the cut-and-paste group of \(G\)-manifolds and fibring over the circle within a cobordism class - MaRDI portal

The divisibility in the cut-and-paste group of \(G\)-manifolds and fibring over the circle within a cobordism class (Q1775266)

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scientific article; zbMATH DE number 2165822
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English
The divisibility in the cut-and-paste group of \(G\)-manifolds and fibring over the circle within a cobordism class
scientific article; zbMATH DE number 2165822

    Statements

    The divisibility in the cut-and-paste group of \(G\)-manifolds and fibring over the circle within a cobordism class (English)
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    6 May 2005
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    This paper gives a divisibility theorem for elements in the cut-and-paste group of closed \(G\)-manifolds in terms of the Euler characteristic, where \(G\) is a finite abelian group of odd order. As an application, the author obtains an equivariant analog of a classical result by \textit{P. E. Conner} and \textit{E. E. Floyd} [Mich. Math. J. 12, 33--47 (1965; Zbl 0129.39104)].
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    G-manifold
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    cut-and-paste
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