Geodesic
On a Shunkov group saturated by central extensions of cyclic groups by projective special linear groups
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 177-185
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Let $G$ be a group, and let $\mathfrak R$ be some set of groups. We say that the group $G$ is saturated by groups from the set $\mathfrak R$ if any finite subgroup of $G$ is contained in a subgroup of $G$ isomorphic to some group from $\mathfrak R$. We prove that a periodic Shunkov group saturated by groups from $\mathfrak R=\{L_2(2^n)\times(t_m)\mid n=1,2,\dots,\ m=1,2,\dots,\}$, where $(|L_2(2^n)|,|t_m|)=1$, or from $\mathfrak R=\{L_2(5)\times\langle v\rangle\}$, where $|v|=2^k$, $k=1,2,\dots$, is locally finite.
Keywords: periodic group, Shunkov group
Mots-clés : saturation. 
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     title = {On {a~Shunkov} group saturated by central extensions of cyclic groups by projective special linear groups},
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D. N. Panyushkin; L. R. Tukhvatullina; K. A. Filippov. On a Shunkov group saturated by central extensions of cyclic groups by projective special linear groups. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 16 (2010) no. 2, pp. 177-185. http://geodesic.mathdoc.fr/item/TIMM_2010_16_2_a15/

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