Geodesic
Periodic groups saturated with finite simple groups of types $U_3$ and $L_3$
Algebra i logika, Tome 55 (2016) no. 4, pp. 441-448

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Suppose that $\mathfrak M$ is a set whose elements are simple three-dimensional unitary groups $U_3(q)$ and linear groups $L_3(q)$ over finite fields. We prove that a periodic group saturated with groups of $\mathfrak M$ is locally finite and isomorphic to $U_3(Q)$ or $L_3(Q)$ for some locally finite field $Q$.
Keywords: group saturated with set of groups, periodic group. 
@article{AL_2016_55_4_a3,
     author = {D. V. Lytkina and A. A. Shlepkin},
     title = {Periodic groups saturated with finite simple groups of types $U_3$ and~$L_3$},
     journal = {Algebra i logika},
     pages = {441--448},
     publisher = {mathdoc},
     volume = {55},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2016_55_4_a3/}
}
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D. V. Lytkina; A. A. Shlepkin. Periodic groups saturated with finite simple groups of types $U_3$ and $L_3$. Algebra i logika, Tome 55 (2016) no. 4, pp. 441-448. http://geodesic.mathdoc.fr/item/AL_2016_55_4_a3/