关键词: 周期FC-群, 外FC-群, 外周期FC-群, 外有限模

Abstract:

A group is an FC-group if all its conjugacy classes are finite and a group is a periodic FC-group if it is an FC-group all of whose elements have finite order. A group G is said to be a just non-(periodic FC)-group if all its proper quotients are periodic FC-groups, but G itself is not. The purpose of this article is to give a satisfied description of the structure of just non-(periodic FC)-groups.

Key words: Periodic FC-groups, Just non-FC-groups, Just non-(periodic FC)-groups, Just infinite modules