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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2018, Issue 1(34), Pages 55–60
(Mi pfmt553)
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This article is cited in 1 scientific paper (total in 1 paper)
MATHEMATICS
On the influence of $k$-primary Hall subgroups on the structure of finite soluble groups
T. I. Vasilyevaab, S. V. Balycheva
a F. Scorina Gomel State University
b Belarusian State University of Transport, Gomel
Abstract:
Let $t$ be a natural number. In the class of finite soluble groups the properties of the class of all groups whose any $k$-primary Hall
subgroups for $k\leqslant t$ belong to the saturated formation are found.
Keywords:
soluble group, Hall subgroup, hereditary formation, saturated formation.
Received: 27.11.2017
Citation:
T. I. Vasilyeva, S. V. Balychev, “On the influence of $k$-primary Hall subgroups on the structure of finite soluble groups”, PFMT, 2018, no. 1(34), 55–60
Linking options:
https://www.mathnet.ru/eng/pfmt553 https://www.mathnet.ru/eng/pfmt/y2018/i1/p55
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| Statistics & downloads: |
| Abstract page: | 169 | | Full-text PDF : | 48 | | References: | 29 |
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