Geodesic
Periodic groups saturated with finite simple groups $L_4(q)$
Algebra i logika, Tome 60 (2021) no. 6, pp. 549-556.

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If $M$ is a set of finite groups, then a group $G$ is said to be saturated with the set $M$ (saturated with groups in $M$) if every finite subgroup of $G$ is contained in a subgroup isomorphic to some element of $M$. It is proved that a periodic group with locally finite centralizers of involutions, which is saturated with a set consisting of groups $L_4(q)$, where $q$ is odd, is isomorphic to $L_4(F)$ for a suitable field $F$ of odd characteristic.
Keywords: periodic group, locally finite group, involution
Mots-clés : saturation. 
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Wenbin Guo; D. V. Lytkina; V. D. Mazurov. Periodic groups saturated with finite simple groups $L_4(q)$. Algebra i logika, Tome 60 (2021) no. 6, pp. 549-556. http://geodesic.mathdoc.fr/item/AL_2021_60_6_a1/

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