Finite Groups in Which Every Subgroup Is Abelian or Normal
Received:January 04, 2006  Revised:July 02, 2006
Key Words: abelian subgroup   normal subgroup   Frobenius group   nilpotent group.  
Fund Project:the National Natural Science Foundation of China (No.10571128); the Natural Science Foundation of Jiangsu Education Committee (No.05KJB110002).
Author NameAffiliation
TANG Feng Department of Mathematics, Changshu Institute of Technology, Jiangsu 215500, China
School of Mathematics and Computer Science, Nanjing Normal University, Jiangsu 210097, China 
QIAN Guo Hua Department of Mathematics, Changshu Institute of Technology, Jiangsu 215500, China 
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Abstract:
      The main object of this paper is to investigate the finite groups in which every subgroup is either abelian or normal. We obtain a characterization of the groups for the nonnilpotent case, and we also give some properties for the nilpotent case.
Citation:
DOI:10.3770/j.issn:1000-341X.2008.02.005
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