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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2012, Issue 2(11), Pages 62–64
(Mi pfmt26)
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This article is cited in 9 scientific papers (total in 9 papers)
MATHEMATICS
A note on intersections of some maximal subgroups of finite groups
A. F. Vasil'eva, T. I. Vasilyevab, A. V. Syrokvashinc
a F. Scorina Gomel State University, Gomel
b Belarusian State University of Transport, Gomel
c I.G. Petrovsky Bryansk State University, Bryansk, Russia
Abstract:
In the work V.S.Monahov's results that for any soluble non-nilpotent finite group $G$ its Frattini subgroup $\Phi(G)$ (subgroup $\Delta(G)$) coincides with intersection of all maximal (respectively all abnormal maximal) subgroups $M$ of group $G$ such that $MF(G) = G$, are extended on arbitrary finite groups.
Keywords:
finite group, maximal subgroup, Frattini subgroup, Frattini $\theta$-subgroup, subgroup m-functor.
Received: 06.02.2012
Citation:
A. F. Vasil'ev, T. I. Vasilyeva, A. V. Syrokvashin, “A note on intersections of some maximal subgroups of finite groups”, PFMT, 2012, no. 2(11), 62–64
Linking options:
https://www.mathnet.ru/eng/pfmt26 https://www.mathnet.ru/eng/pfmt/y2012/i2/p62
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