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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 8, Pages 46–55
(Mi ivm7865)
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This article is cited in 9 scientific papers (total in 9 papers)
Finite groups, whose primary subgroups are either $F$-subnormal or $F$-abnormal
V. N. Semenchuk, S. N. Shevchuk Gomel State University, Gomel, Republic of Belarus
Abstract:
We study finite groups whose each primary subgroup is either subnormal or abnormal with respect to classes of all nilpotent, all $p$-closed, and all $p$-nilpotent groups. In particular, we completely describe these groups.
Keywords:
primary groups, subnormality, abnormality, $p$-nilpotent groups.
Received: 16.04.2010
Citation:
V. N. Semenchuk, S. N. Shevchuk, “Finite groups, whose primary subgroups are either $F$-subnormal or $F$-abnormal”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 8, 46–55; Russian Math. (Iz. VUZ), 55:8 (2011), 38–46
Linking options:
https://www.mathnet.ru/eng/ivm7865 https://www.mathnet.ru/eng/ivm/y2011/i8/p46
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