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Cohomologies of the Kleinian 4-group

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Abstract

We explicitly calculate the cohomologies of all G-lattices, where G is the Kleinian 4-group.

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Notes

  1.  It is known (see, for instance, [2]) that each of these two conditions implies the other.

  2.  Note that there is an obvious misprint in [6, Theorem 4.3]: in the formula (4.4) there must be \(|n|-2\) instead of \(|n|-1\).

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  1. National Academy of Sciences of Ukraine, Institute of Mathematics, Tereschenkivska str. 3, Kiev, 01024, Ukraine

    Yuriy A. Drozd & Andriana I. Plakosh

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  1. Yuriy A. Drozd
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  2. Andriana I. Plakosh
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Correspondence to Yuriy A. Drozd.

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Drozd, Y.A., Plakosh, A.I. Cohomologies of the Kleinian 4-group. Arch. Math. 115, 139–145 (2020). https://doi.org/10.1007/s00013-020-01451-6

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