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On intersections of nilpotent subgroups in finite symmetric and alternating groups

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Abstract

It is proved that, in a nonsolvable finite symmetric or alternating group except for the group S 8, 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.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Yekaterinburg, 620990, Russia

    V. I. Zenkov

  2. Institute of Radioelectronics and Informational Technologies, Ural Federal University, ul. Mira 32, Yekaterinburg, 620002, Russia

    V. I. Zenkov

Authors
  1. V. I. Zenkov
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Correspondence to V. I. Zenkov.

Additional information

Original Russian Text © V.I. Zenkov, 2013, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Vol. 19, No. 3.

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Zenkov, V.I. On intersections of nilpotent subgroups in finite symmetric and alternating groups. Proc. Steklov Inst. Math. 285 (Suppl 1), 203–208 (2014). https://doi.org/10.1134/S0081543814050228

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  • DOI: https://doi.org/10.1134/S0081543814050228

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