Geodesic
Finite groups with absolutely $\mathfrak{F}$-subnormal maximal subgroups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 29 (2023) no. 1, pp. 254-258 Cet article a éte moissonné depuis la source Math-Net.Ru

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A subgroup $M$ of a group $G$ is an $n$-maximal subgroups of $G$ if there is a subgroup chain $M=M_n\leq M_{n-1}\leq \ldots \leq M_1\leq M_0=G$ such that $M_{i+1}$ is a maximal subgroup of $M_i$. We establish a criterion for a group with absolutely $\mathfrak{F}$-subnormal $n$-maximal subgroups to belong to a subgroup-closed saturated formation $\mathfrak{F}$ containing all nilpotent groups.
Keywords: finite group, maximal subgroup, subnormal subgroup. 
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I. L. Sokhor. Finite groups with absolutely $\mathfrak{F}$-subnormal maximal subgroups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 29 (2023) no. 1, pp. 254-258. http://geodesic.mathdoc.fr/item/TIMM_2023_29_1_a18/

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