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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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