On the Structure of Periodic Groups Saturated by Semidihedral Groups

Lyajsan R. Tukhvatullina, Anatoly K. Shlepkin

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 in $\mathfrak R$. We prove that a periodic group saturated a set containing semidihedral groups is a locally finite group.

Keywords: periodic group, semidihedral group.

UDC: 512.54

Received: 15.04.2008
Received in revised form: 25.05.2008
Accepted: 25.06.2008