On groups with formational subnormal Sylow subgroups
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AbstractWe investigate a finite groupGwith{\mathfrak{F}}-subnormal Sylow subgroups, where{\mathfrak{F}}is a subgroup-closed formation and{\mathfrak{A}_{1}\mathfrak{A}\subseteq\mathfrak{F}\subseteq\mathfrak{N}% \mathcal{A}}. We prove thatGis soluble and the derived subgroup of each metanilpotent subgroup is nilpotent. We also describe the structure of groups in which every Sylow subgroup is{\mathfrak{F}}-subnormal or{\mathfrak{F}}-abnormal.
2021 ◽
Vol 58
(2)
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pp. 147-156
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2008 ◽
Vol 01
(03)
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pp. 369-382
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1991 ◽
Vol 34
(1)
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pp. 42-47
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2014 ◽
Vol 90
(2)
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pp. 220-226
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2019 ◽
Vol 12
(2)
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pp. 571-576
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1968 ◽
Vol 20
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pp. 1256-1260
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