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On the structure of periodic groups saturated by semidihedral groups

L. R. Tukhvatullina

Krasnoyarsk State Agricultural University

Abstract: Let $\mathfrak R$ be a set of finite groups. A group $G$ is said to be saturated by $\mathfrak R$, if every finite subgroup of $G$ is contained in a subgroup isomorphic to a group from $\mathfrak R$. We prove that a periodic group saturated by the set consisting of the semidihedral group is locally finite.

UDC: 512.5

MSC: 13A99

Received January 1, 2008, published February 21, 2008

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