Acta mathematica scientia,Series A ›› 2015, Vol. 35 ›› Issue (2): 359-363.

• Articles • Previous Articles     Next Articles

Groups Whose Proper Quotients Are Periodic FC-Groups

Zhang Zhirang, Li Xiang   

  1. Institute of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225
  • Received:2013-05-29 Revised:2014-12-17 Online:2015-04-25 Published:2015-04-25

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

CLC Number: 

  • O152.1
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