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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 6, Pages 1310–1318
(Mi smj1920)
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This article is cited in 5 scientific papers (total in 5 papers)
On the prefrattini subgroups of finite soluble groups
S. F. Kamornikov Francisk Skaryna Gomel State University, Faculty of Mathematics
Abstract:
We study the partially prefrattini groups of a finite soluble group. We prove that the set of all partially prefrattini subgroups associated with the Gaschütz system of complements to crowns is a Boolean lattice.
Keywords:
finite soluble group, partially prefrattini group, lattice of subgroups.
Received: 31.03.2007
Citation:
S. F. Kamornikov, “On the prefrattini subgroups of finite soluble groups”, Sibirsk. Mat. Zh., 49:6 (2008), 1310–1318; Siberian Math. J., 49:6 (2008), 1044–1050
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https://www.mathnet.ru/eng/smj1920 https://www.mathnet.ru/eng/smj/v49/i6/p1310
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Abstract page: | 319 | Full-text PDF : | 75 | References: | 66 | First page: | 1 |
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