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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2014, Issue 3(20), Pages 85–87
(Mi pfmt328)
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MATHEMATICS
On finite groups with given system of Sylow subgroups
V. N. Tyutyanova, T. V. Tihonenkob
a Gomel Branch of International University «MITSO», Gomel, Belarus
b P. Sukhoi Gomel State Technical University, Gomel, Belarus
Abstract:
The solvability of the finite group in which any Sylow subgroup is either $\mathbb{P}$-subnormal or abnormal, was proved.
Keywords:
Sylow subgroup, simple non-abelian group, $\mathbb{P}$-subnormal subgroup, abnormal subgroup.
Received: 24.06.2014
Citation:
V. N. Tyutyanov, T. V. Tihonenko, “On finite groups with given system of Sylow subgroups”, PFMT, 2014, no. 3(20), 85–87
Linking options:
https://www.mathnet.ru/eng/pfmt328 https://www.mathnet.ru/eng/pfmt/y2014/i3/p85
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| Abstract page: | 212 | | Full-text PDF : | 63 | | References: | 48 |
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