On products in the cohomology of the dihedral groups (Q1802562)

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scientific article; zbMATH DE number 203568
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On products in the cohomology of the dihedral groups
scientific article; zbMATH DE number 203568

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    On products in the cohomology of the dihedral groups (English)
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    17 June 1993
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    Let \(D_{2n}\) denote the dihedral group of order \(2n\). The author constructs an explicit diagonal approximation on the free \(\mathbb{Z}[D_{2n}]\)-resolution of \(\mathbb{Z}\) given by \textit{C. T. C. Wall} [Proc. Camb. Philos. Soc. 57, 251-255 (1961; Zbl 0106.249)]. Using this diagonal approximation a number of examples of cohomology products (with non-trivial coefficients) are computed.
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    dihedral group
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    diagonal approximation
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    free \(\mathbb{Z}[D_{2n}]\)- resolution
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    cohomology products
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