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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2017, Issue 3(32), Pages 43–47
(Mi pfmt516)
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MATHEMATICS
On finite groups with given triple factorization
A. F. Vasil'eva, T. I. Vasil'evaab, K. L. Parfiankoua
a F. Scorina Gomel State University
b Belarusian State University of Transport, Gomel
Abstract:
Finite groups having three subgroups with pairwise relatively prime indices are studied. In particular, the structure of a group is established with such subgroups that are supersoluble, have a nilpotent commutator subgroup, and so on.
Keywords:
finite group, supersoluble group, hereditary saturated formation, $\mathfrak{F}$-subnormal subgroup.
Received: 20.03.2017
Citation:
A. F. Vasil'ev, T. I. Vasil'eva, K. L. Parfiankou, “On finite groups with given triple factorization”, PFMT, 2017, no. 3(32), 43–47
Linking options:
https://www.mathnet.ru/eng/pfmt516 https://www.mathnet.ru/eng/pfmt/y2017/i3/p43
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| Statistics & downloads: |
| Abstract page: | 144 | | Full-text PDF : | 51 | | References: | 26 |
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