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Intersections of Nilpotent Subgroups in Finite Groups with Sporadic Socle

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Algebra and Logic Aims and scope

It is proved that for any nilpotent subgroups A and B in a finite group G with sporadic socle, there is an element g such that A ∩ Bg = 1.

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Authors and Affiliations

  1. Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences. El’tsyn Ural Federal University, Yekaterinburg, Russia

    V. I. Zenkov

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

Additional information

Translated from Algebra i Logika, Vol. 59, No. 4, pp. 458-470, July-August, 2020. Russian https://doi.org/10.33048/alglog.2020.59.403.

V. I. Zenkov is Supported by RFBR (project No. 20-01-00456) and by the Competitiveness Enhancement Program for leading universities of Russia (Agreement No. 02.A03.21.0006 of 27.08.2013).

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Zenkov, V.I. Intersections of Nilpotent Subgroups in Finite Groups with Sporadic Socle. Algebra Logic 59, 313–321 (2020). https://doi.org/10.1007/s10469-020-09603-x

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  • DOI: https://doi.org/10.1007/s10469-020-09603-x

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