Finite Groups Whose Nontrivial Normal Subgroups Have the Same Order
Received:August 30, 2006  Revised:July 13, 2007
Key Words: normal subgroups   simple groups   minimal non-abelian groups.  
Fund Project:the National Natural Science Foundation of China (No.10671114); the Natural Science Foundation of Shanxi Province (No.20051007); the Returned Abroad-student Fund of Shanxi Province (No.[2004]13-56)
Author NameAffiliation
ZHANG Qin Hai Department of Mathematics, Shanxi Normal University, Shanxi 041004, China 
CAO Jian Ji Department of Mathematics, Shanxi Normal University, Shanxi 041004, China 
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Abstract:
      In this paper, we study finite groups all of whose nontrivial normal subgroups have the same order. In the solvable case, the groups are determined. In the insolvable case, some characterizations are given.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.04.008
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