Properties of groups with points

Abstract

In this paper, we consider groups with points which were introduced by V.P. Shunkov in 1990. In Novikov-Adian's group, Adian's periodic products of finite groups without involutions and Olshansky's periodic monsters every non-unit element is a point. There exist groups without points. In this article we shall prove some properties of the groups with points.

Keywords

• adian's periodic products
• chernikov group
• locally finite
• locally soluble groups
• novikov-adian's group
• points of group