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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 5, Pages 1051–1055
DOI: https://doi.org/10.17377/smzh.2017.58.508
(Mi smj2918)
 

This article is cited in 1 scientific paper (total in 1 paper)

On the embedding of central extensions into permutation wreath products

A. V. Zavarnitsine

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (270 kB) Citations (1)
References:
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 $G$.
Keywords: permutation module, central extension, wreath product.
Funding agency Grant number
Russian Science Foundation 14-21-00065
The author was supported by the Russian Science Foundation (Grant 14-21-00065).
Received: 10.06.2017
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 5, Pages 813–816
DOI: https://doi.org/10.1134/S0037446617050081
Bibliographic databases:
Document Type: Article
UDC: 512.54
MSC: 20D99
Language: Russian
Citation: A. V. Zavarnitsine, “On the embedding of central extensions into permutation wreath products”, Sibirsk. Mat. Zh., 58:5 (2017), 1051–1055; Siberian Math. J., 58:5 (2017), 813–816
Citation in format AMSBIB
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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    Abstract page:140
    Full-text PDF :39
    References:31
    First page:3
     
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