Geodesic
A generalization of the theorem of Frobenius on periodic groups
Algebra i logika, Tome 6 (1967) no. 3, pp. 113-124.

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The well-known theorem of Frobenius is transferred on any periodic group $G$ with a finite subgroup $H$ of the even order which contains involutions, coincides with its normalizator and is coprime with its conjugated subgroups. 
@article{AL_1967_6_3_a12,
     author = {V. P. Shunkov},
     title = {A generalization of the theorem of {Frobenius} on periodic groups},
     journal = {Algebra i logika},
     pages = {113--124},
     publisher = {mathdoc},
     volume = {6},
     number = {3},
     year = {1967},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_1967_6_3_a12/}
}
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V. P. Shunkov. A generalization of the theorem of Frobenius on periodic groups. Algebra i logika, Tome 6 (1967) no. 3, pp. 113-124. http://geodesic.mathdoc.fr/item/AL_1967_6_3_a12/