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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 4, Pages 898–913
(Mi smj904)
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This article is cited in 2 scientific papers (total in 2 papers)
On the existence of $f$-local subgroups in a group
A. I. Sozutov, M. V. Yanchenko Krasnoyarsk State Academy of Architecture and Construction
Abstract:
We prove the existence of infinite subgroups with nontrivial locally finite radicals and of locally finite subgroups in the groups with almost finite almost solvable elements of prime orders and in the groups with generally finite elements.
Keywords:
group, $f$-local subgroup, almost finite element, generally finite element, generally finite group.
Received: 01.12.2004
Citation:
A. I. Sozutov, M. V. Yanchenko, “On the existence of $f$-local subgroups in a group”, Sibirsk. Mat. Zh., 47:4 (2006), 898–913; Siberian Math. J., 47:4 (2006), 740–750
Linking options:
https://www.mathnet.ru/eng/smj904 https://www.mathnet.ru/eng/smj/v47/i4/p898
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Abstract page: | 233 | Full-text PDF : | 80 | References: | 52 |
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