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Diskretnaya Matematika, 2019, Volume 31, Issue 4, Pages 3–19
DOI: https://doi.org/10.4213/dm1555
(Mi dm1555)
 

This article is cited in 3 scientific papers (total in 3 papers)

Subgroups of direct products of groups invariant under the action of permutationson factors

D. A. Burov

TVP Laboratories
Full-text PDF (504 kB) Citations (3)
References:
Abstract: We study subgroups of the direct product of two groups invariant under the action of permutations on factors. An invariance criterion for the subdirect product of two groups under the action of permutations on factors is put forward. Under certain additional constraints on permutations, we describe the subgroups of the direct product of a finite number of groups that are invariant under the action of permutations on factors. We describe the subgroups of the additive group of vector space over a finite field of characteristic 2 which are invariant under the coordinatewise action of inversion permutation of nonzero elements of the field.
Keywords: direct product of groups, invariant cosets, XSL-algorithms, s-boxes layer.
Received: 19.12.2018
Revised: 29.10.2019
English version:
Discrete Mathematics and Applications, 2020, Volume 30, Issue 4, Pages 243–255
DOI: https://doi.org/10.1515/dma-2020-0021
Bibliographic databases:
Document Type: Article
UDC: 512.544.2
Language: Russian
Citation: D. A. Burov, “Subgroups of direct products of groups invariant under the action of permutationson factors”, Diskr. Mat., 31:4 (2019), 3–19; Discrete Math. Appl., 30:4 (2020), 243–255
Citation in format AMSBIB
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\paper Subgroups of direct products of groups invariant under the action of permutationson factors
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\issue 4
\pages 3--19
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\jour Discrete Math. Appl.
\yr 2020
\vol 30
\issue 4
\pages 243--255
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Linking options:
  • https://www.mathnet.ru/eng/dm1555
  • https://doi.org/10.4213/dm1555
  • https://www.mathnet.ru/eng/dm/v31/i4/p3
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Дискретная математика
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    Abstract page:786
    Full-text PDF :86
    References:50
    First page:22
     
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