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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2015, Issue 2(23), Pages 72–74
(Mi pfmt377)
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This article is cited in 2 scientific papers (total in 2 papers)
MATHEMATICS
On finite groups in which every subgroup is either $\mathfrak{F}$-subnormal or $\mathfrak{F}$-abnormal
V. N. Semenchuk, A. N. Skiba F. Scorina Gomel State University, Gomel, Belarus
Abstract:
The structure of finite groups in which every proper subgroup is either $\mathfrak{F}$-subnormal or $\mathfrak{F}$-abnormal, where $\mathfrak{F}$ is a saturated hereditary formation with the Shemetkov property containing all nilpotent groups is studied. In particular, descriptions of these groups in the cases when $\mathfrak{F}$ is either the formation of all $p$-nilpotent groups or all $p$-decomposable groups were obtained.
Keywords:
finite group, $\mathfrak{F}$-subnormal subgroup, $\mathfrak{F}$-abnormal subgroup, saturated formation, formation with the Shemetkov property.
Received: 17.02.2015
Citation:
V. N. Semenchuk, A. N. Skiba, “On finite groups in which every subgroup is either $\mathfrak{F}$-subnormal or $\mathfrak{F}$-abnormal”, PFMT, 2015, no. 2(23), 72–74
Linking options:
https://www.mathnet.ru/eng/pfmt377 https://www.mathnet.ru/eng/pfmt/y2015/i2/p72
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Abstract page: | 159 | Full-text PDF : | 52 | References: | 29 |
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