On S-Quasinormal and C-Normal Subgroups of Prime Power Order in Finite Groups
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Let G be a finite group, p the smallest prime dividing the order of G, and P a Sylow p-subgroup of G with the smallest generator number d. Consider a set [Formula: see text] of maximal subgroups of P such that [Formula: see text]. It is shown that if every member [Formula: see text] of is either S-quasinormally embedded or C-normal in G, then G is p-nilpotent. As its applications, some further results are obtained.
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1986 ◽
Vol 40
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pp. 253-260
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2013 ◽
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pp. 1350100
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2010 ◽
Vol 82
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pp. 293-304
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2015 ◽
Vol 14
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pp. 1550095
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2009 ◽
Vol 02
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pp. 667-680
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2016 ◽
Vol 16
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pp. 1750134
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