This article is cited in 6 papers

Mathematical logic, algebra and number theory

Periodic groups, saturated by wreathed groups

A. A. Shlyopkin

Siberian Federal University, Krasnoyarsk

Abstract: It is proved that an infinite 2–group saturated by the set $\mathfrak{S}=\{(<a>\times <b>)\leftthreetimes(v)| \ |a|=|b|=2^n, v^2=e, a^v=b, n=1,2,...\}$ is isomorphic to the wreath product of a locally cyclic group and a group of order 2.

Keywords: saturation, groups saturated by current set of groups, wreathed groups.

UDC: 512.54

MSC: 13A99

Received January 14, 2013, published January 25, 2013