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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 4, Pages 890–901
(Mi smj2012)
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The product of generalized subnormal subgroups in finite groups
V. N. Semenchuka, S. A. Mokeevab, O. A. Mokeevaa a Francisk Skaryna Gomel State University, Gomel, Belarus
b Belarusian State University of Trade and Economics of Consumer's Cooperation, Gomel, Belarus
Abstract:
We study the structure of some classes of finite groups with a given system of commuting generalized subnormal subgroups. In particular, our results yield a characterization of superradical and Shemetkov formations.
Keywords:
finite group, formation, saturated formation, superradical formation, Shemetkov formation.
Received: 18.04.2007
Citation:
V. N. Semenchuk, S. A. Mokeeva, O. A. Mokeeva, “The product of generalized subnormal subgroups in finite groups”, Sibirsk. Mat. Zh., 50:4 (2009), 890–901; Siberian Math. J., 50:4 (2009), 706–714
Linking options:
https://www.mathnet.ru/eng/smj2012 https://www.mathnet.ru/eng/smj/v50/i4/p890
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Abstract page: | 269 | Full-text PDF : | 93 | References: | 55 | First page: | 3 |
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