Geodesic
On a periodic Shunkov group saturated by direct products of finite elementary abelian 2-groups and $L_2(2^n)$
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 83-87
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Let $\Re$ be a set of groups. A group $G$ is said to be saturated by groups from $\Re$ if any finite subgroup from $G$ is contained in a subgroup of $G$ isomorphic to some group from $\Re$. It is proved that a periodic Shunkov group saturated by groups from the set $\Re=\{L_2(2^k)\times I_n\mid n\in N\}$, where $I_n$ is the direct product of $n$ copies of groups of order 2 and $k$ is a fixed number, is locally finite.
Keywords: periodic group, Shunkov group
Mots-clés : saturation. 
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A. A. Duzh; A. A. Shlepkin. On a periodic Shunkov group saturated by direct products of finite elementary abelian 2-groups and $L_2(2^n)$. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 17 (2011) no. 4, pp. 83-87. http://geodesic.mathdoc.fr/item/TIMM_2011_17_4_a7/

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