Geodesic
Characterization of simple symplectic groups of degree 4 over locally finite fields in the class of periodic groups
Algebra i logika, Tome 57 (2018) no. 3, pp. 306-320

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Let $G$ be a periodic group containing an element of order 2 such that each of its finite subgroups of even order lies in a finite subgroup isomorphic to a simple symplectic group of degree 4. It is shown that $G$ is isomorphic to a simple symplectic group $S_4(Q)$ of degree 4 over some locally finite field $Q$.
Keywords: periodic group, locally finite field, simple symplectic group. 
@article{AL_2018_57_3_a3,
     author = {D. V. Lytkina and V. D. Mazurov},
     title = {Characterization of simple symplectic groups of degree~4 over locally finite fields in the class of periodic groups},
     journal = {Algebra i logika},
     pages = {306--320},
     publisher = {mathdoc},
     volume = {57},
     number = {3},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2018_57_3_a3/}
}
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D. V. Lytkina; V. D. Mazurov. Characterization of simple symplectic groups of degree 4 over locally finite fields in the class of periodic groups. Algebra i logika, Tome 57 (2018) no. 3, pp. 306-320. http://geodesic.mathdoc.fr/item/AL_2018_57_3_a3/