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On the embedding of central extensions into permutation wreath products

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Abstract

We find a necessary condition for embedding a central extension of a group G with elementary abelian kernel into the wreath product that corresponds to a given permutation action of G.

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References

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. V. Zavarnitsine

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  1. A. V. Zavarnitsine
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Correspondence to A. V. Zavarnitsine.

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Original Russian Text Copyright © 2017 Zavarnitsine A.V.

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 5, pp. 1051–1055, September–October, 2017; DOI: 10.17377/smzh.2017.58.508.

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Zavarnitsine, A.V. On the embedding of central extensions into permutation wreath products. Sib Math J 58, 813–816 (2017). https://doi.org/10.1134/S0037446617050081

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  • DOI: https://doi.org/10.1134/S0037446617050081

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