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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1147–1154
(Mi smj1797)
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This article is cited in 2 scientific papers (total in 2 papers)
The $f$-local subgroups of the groups with a generalized finite element of order 2 or 4
A. I. Sozutov, M. V. Yanchenko Siberian Federal University, Institute of Architecture and Construction
Abstract:
We prove the existence of infinite subgroups with nontrivial locally finite radicals and of infinite locally finite subgroups in the groups with almost finite almost solvable elements of order 2 and 4 and in the groups with almost finite elements.
Keywords:
group, $f$-local subgroup, almost finite element, generalized finite element, generalized finite group.
Received: 11.04.2006
Citation:
A. I. Sozutov, M. V. Yanchenko, “The $f$-local subgroups of the groups with a generalized finite element of order 2 or 4”, Sibirsk. Mat. Zh., 48:5 (2007), 1147–1154; Siberian Math. J., 48:5 (2007), 923–928
Linking options:
https://www.mathnet.ru/eng/smj1797 https://www.mathnet.ru/eng/smj/v48/i5/p1147
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Abstract page: | 246 | Full-text PDF : | 94 | References: | 47 |
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