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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 1, Pages 98–104 (Mi smj2404)  
This article is cited in 3 scientific papers (total in 3 papers)

On the intersection of conjugate nilpotent subgroups in permutation groups

R. K. Kurmazov

Novosibirsk State University, Novosibirsk, Russia
Full-text PDF (299 kB) Citations (3)
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Abstract: We prove that, with exception of finitely many explicitly indicated cases, for a nilpotent subgroup in a symmetric or an alternating group there always exists a subgroup conjugate to it such that the intersection of the subgroups is trivial.
Keywords: nilpotent subgroup, symmetric group, asymmetric partition, intersection of conjugate subgroups.
Received: 21.08.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 1, Pages 73–77
DOI: https://doi.org/10.1134/S0037446613010102
Bibliographic databases:
Document Type: Article
UDC: 512.542.5
Language: Russian
Citation: R. K. Kurmazov, “On the intersection of conjugate nilpotent subgroups in permutation groups”, Sibirsk. Mat. Zh., 54:1 (2013), 98–104; Siberian Math. J., 54:1 (2013), 73–77
Citation in format AMSBIB
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    • 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
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