Geodesic
Periodic groups saturated with finite simple groups
Trudy Instituta matematiki, Tome 23 (2015) no. 2, pp. 72-75

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Let $\mathfrak{M}$ be a set of groups. We say that a group $G$ is saturated with the groups of $\mathfrak{M}$, if every finite subgroup of $G$ lies in a subgroup isomorphic to a group of $\mathfrak{M}$. We give a short survey on results about groups saturated with different sets of finite simple non-abelian groups. 
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     author = {D. V. Lytkina and V. D. Mazurov},
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D. V. Lytkina; V. D. Mazurov. Periodic groups saturated with finite simple groups. Trudy Instituta matematiki, Tome 23 (2015) no. 2, pp. 72-75. http://geodesic.mathdoc.fr/item/TIMB_2015_23_2_a8/