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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 3, Pages 144–149
(Mi timm971)
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This article is cited in 13 scientific papers (total in 13 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
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
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. (Suppl.), 285, suppl. 1 (2014), S203–S208
Linking options:
https://www.mathnet.ru/eng/timm971 https://www.mathnet.ru/eng/timm/v19/i3/p144
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Abstract page: | 239 | Full-text PDF : | 66 | References: | 52 | First page: | 1 |
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