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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 2, Pages 436–443
(Mi smj2648)
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This article is cited in 1 scientific paper (total in 1 paper)
On groups with Frobenius elements
A. M. Popova, A. I. Sozutovab a M. F. Reshetnev Siberian State Aerospace University, Krasnoyarsk, Russia
b Siberian Federal University, Krasnoyarsk, Russia
Abstract:
We find the conditions under which the set-theoretic union of the kernels of two-generated Frobenius subgroups of a group $G$ with fixed cyclic complement of order $3n$ is a normal subgroup in $G$.
Keywords:
Frobenius group, system of Frobenius subgroups, $H$-Frobenius element.
Received: 02.04.2014
Citation:
A. M. Popov, A. I. Sozutov, “On groups with Frobenius elements”, Sibirsk. Mat. Zh., 56:2 (2015), 436–443; Siberian Math. J., 56:2 (2015), 352–357
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https://www.mathnet.ru/eng/smj2648 https://www.mathnet.ru/eng/smj/v56/i2/p436
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Abstract page: | 333 | Full-text PDF : | 77 | References: | 61 | First page: | 9 |
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