Geodesic
Continuation of the theory of $E_\mathfrak{F}$-groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 1, pp. 268-272 Cet article a éte moissonné depuis la source Math-Net.Ru

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We describe the structure of finite groups with $\mathfrak{F}$-subnormal or self-normalizing primary cyclic subgroups when $\mathfrak{F}$ is a subgroup-closed saturated superradical formation containing all nilpotent groups. We prove that groups with absolutely $\mathfrak{F}$-subnormal or self-normalizing primary cyclic subgroups are soluble when $\mathfrak{F}$ is a subgroup-closed saturated formation containing all nilpotent groups.
Keywords: finite group; primary cyclic subgroup; subnormal subgroup; abnormal subgroup; derived subgroup. 
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I. L. Sokhor. Continuation of the theory of $E_\mathfrak{F}$-groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 27 (2021) no. 1, pp. 268-272. http://geodesic.mathdoc.fr/item/TIMM_2021_27_1_a23/

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