Geodesic
About Periodic Groups of Shunkov Saturated by Central Expansions of Finite 2-Groups by Means of Group $L_2(5)$
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 1, pp. 89-94
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Let $\Re$ be a set of finite groups. A group $G$ is said to be saturated by $\Re$, if every finite subgroup of $G$ is contained in a subgroup isomorphic to a group from $\Re$. We prove that a periodic group of Shunkov saturated by set $\Re=\{L_2(5)\times \langle v\rangle\}$, where $I_n$ — direct product of $n$ copys of groups of order 2, is locally finite group.
Keywords: periodic group, group of Shunkov
Mots-clés : saturation. 
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     title = {About {Periodic} {Groups} of {Shunkov} {Saturated} by {Central} {Expansions} {of~Finite} {2-Groups} by {Means} {of~Group} $L_2(5)$},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
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D. N. Panyushkin; L. R. Tukhvatullina; K. A. Filippov. About Periodic Groups of Shunkov Saturated by Central Expansions of Finite 2-Groups by Means of Group $L_2(5)$. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 10 (2010) no. 1, pp. 89-94. http://geodesic.mathdoc.fr/item/VNGU_2010_10_1_a6/

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