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Sibirskii Matematicheskii Zhurnal, 1993, Volume 34, Number 4, Pages 103–107
(Mi smj1633)
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This article is cited in 7 scientific papers (total in 7 papers)
The structure of intersections of nilpotent $\pi$-subgroups in finite $\pi$-solvable groups
V. I. Zenkov
Abstract:
It is shown that the intersection of an arbitrary number of Hall $\pi$-subgroups, in a finite solvable $\pi$-group containing a nilpotent Hall $\pi$-subgroup, coincides with the intersection of suitable three Hall $\pi$-subgroups.
Received: 05.08.1992
Citation:
V. I. Zenkov, “The structure of intersections of nilpotent $\pi$-subgroups in finite $\pi$-solvable groups”, Sibirsk. Mat. Zh., 34:4 (1993), 103–107; Siberian Math. J., 34:4 (1993), 683–687
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https://www.mathnet.ru/eng/smj1633 https://www.mathnet.ru/eng/smj/v34/i4/p103
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