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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 359–368
(Mi smj29)
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This article is cited in 8 scientific papers (total in 8 papers)
Finite groups with Hall supplements to primitive subgroups
V. S. Monakhov Francisk Skorina Gomel State University
Abstract:
Using the classification of finite simple groups, we establish the solvability of every finite group with solvable Hall supplements to primitive subgroups. We prove also that if those supplements are Ore dispersive then so is the group itself.
Keywords:
finite group, primitive subgroup, supplement, dispersive group, Hall subgroup.
Received: 10.11.2005
Citation:
V. S. Monakhov, “Finite groups with Hall supplements to primitive subgroups”, Sibirsk. Mat. Zh., 48:2 (2007), 359–368; Siberian Math. J., 48:2 (2007), 288–294
Linking options:
https://www.mathnet.ru/eng/smj29 https://www.mathnet.ru/eng/smj/v48/i2/p359
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