Geodesic
On the solvability of some finite primitive groups
Problemy fiziki, matematiki i tehniki, no. 1 (2012), pp. 87-91

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Let $M$ be a subgroup of a finite group $G$ and $\operatorname{Core}_{G}M$ is the largest normal subgroup of $G$ contained in $M$. We determine the structure of the finite group $G$ if $G$ possesses a maximal subgroup $M$ with $\operatorname{Core}_{G}M = 1$ and all maximal subgroups $H$ of $G$ with $\operatorname{Core}_{G}H = 1$ satisfy certain properties.
Keywords: finite group, maximal subgroup.
Mots-clés : solvable group 
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     author = {I. V. Lemeshev and V. S. Monakhov},
     title = {On the solvability of some finite primitive groups},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {87--91},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2012_1_a14/}
}
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I. V. Lemeshev; V. S. Monakhov. On the solvability of some finite primitive groups. Problemy fiziki, matematiki i tehniki, no. 1 (2012), pp. 87-91. http://geodesic.mathdoc.fr/item/PFMT_2012_1_a14/