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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 3, Pages 144–149 (Mi timm971)  
This article is cited in 15 scientific papers (total in 15 papers)

On intersections of nilpotent subgroups in finite symmetric and alternating groups

V. I. Zenkovab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences
b Ural Federal University named after B. N. Yeltsin
Full-text PDF (140 kB) Citations (15)
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Abstract: It is proved that, in a nonsolvable finite symmetric or alternating group, for any pair of nilpotent subgroups, there exists a subgroup conjugate to one of them such that its intersection with the other subgroup is trivial, except for the group $S_8$.
Keywords: maximal nilpotent subgroup, symmetric group, alternating group.
Received: 05.03.2013
English version:
Proceedings of the Steklov Institute of Mathematics (Supplement Issues), 2014, Volume 285, Issue 1, Pages S203–S208
DOI: https://doi.org/10.1134/S0081543814050228
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: V. I. Zenkov, “On intersections of nilpotent subgroups in finite symmetric and alternating groups”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 3, 2013, 144–149; Proc. Steklov Inst. Math., 285, suppl. 1 (2014), S203–S208
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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