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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2019, Issue 3(40), Pages 63–66
(Mi pfmt656)
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MATHEMATICS
On p-supersolubility of one class finite groups
I. M. Dergacheva, E. A. Zadorozhnyuk, I. P. Shabalina Belarusian State University of Transport, Gomel
Abstract:
The following is proved: A finite group G is p-supersoluble if and only if it has a normal subgroup N with p-supersoluble quotient G/N such that either N is p′-group or p divides |N| and |G:NG(L)| equals to a power of p for any cyclic p-subgroup L of
N of order p or order 4 (if p=2 and a Sylow 2-subgroup of N is non-abelian).
Keywords:
finite group, p-nilpotent group, p-supersoluble group.
Received: 12.04.2019
Citation:
I. M. Dergacheva, E. A. Zadorozhnyuk, I. P. Shabalina, “On p-supersolubility of one class finite groups”, PFMT, 2019, no. 3(40), 63–66
Linking options:
https://www.mathnet.ru/eng/pfmt656 https://www.mathnet.ru/eng/pfmt/y2019/i3/p63
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Statistics & downloads: |
Abstract page: | 197 | Full-text PDF : | 60 | References: | 33 |
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