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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2018, Issue 2(35), Pages 57–59
(Mi pfmt568)
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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices
V. S. Monakhov, D. A. Khadanovich
F. Scorina Gomel State University
Abstract:
The solvability of a finite group $G$ with two non-conjugate maximal subgroups $A$ and $B$ has been proved. It satisfies the following
requirements: subgroups $A$ and $B$ have primary indices in $G$; all proper subgroups of $A$ and $B$ are supersoluble.
Keywords:
finite group, solvable group, maximal subgroup, supersoluble subgroup, non-conjugate subgroups, primary index.
Received: 15.03.2018
Citation:
V. S. Monakhov, D. A. Khadanovich, “On the solvability of a finite group with a pair of non-conjugate subgroups of primary indices”, PFMT, 2018, no. 2(35), 57–59
Linking options:
https://www.mathnet.ru/eng/pfmt568 https://www.mathnet.ru/eng/pfmt/y2018/i2/p57
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| Abstract page: | 275 | | Full-text PDF : | 82 | | References: | 41 |
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