On 𝓕-subnormal subgroups and Frattini-like subgroups of a finite group
1994 ◽
Vol 36
(2)
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pp. 241-247
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Throughout the paper we consider only finite groups.J. C. Beidleman and H. Smith [3] have proposed the following question: “If G is a group and Ha subnormal subgroup of G containing Φ(G), the Frattini subgroup of G, such that H/Φ(G)is supersoluble, is H necessarily supersoluble? “In this paper, we give not only an affirmative answer to this question but also we see that the above result still holds if supersoluble is replaced by any saturated formation containing the class of all nilpotent groups.
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2014 ◽
Vol 56
(3)
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pp. 691-703
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1969 ◽
Vol 21
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pp. 418-429
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2001 ◽
Vol 44
(2)
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pp. 417-423
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2021 ◽
Vol 58
(2)
◽
pp. 147-156
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2008 ◽
Vol 01
(03)
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pp. 369-382
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