Properties of groups with points

Iranian Journal of Numerical Analysis and Optimization

مقاله 2، دوره 2، شماره 1 - شماره پیاپی 2، فروردین 2009   

نوع مقاله: Research Article

شناسه دیجیتال (DOI): 10.22067/ijnao.v2i1.734

نویسندگان

V.I. Senashov^* ؛ E.N. Takovleva

چکیده

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.

کلیدواژه‌ها

Adian's periodic products؛ Chernikov group؛ locally finite؛ locally soluble groups؛ Novikov-Adian's group؛ points of group