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.
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Fund Project:the National Natural Science Foundation of China (No.10571128); the Natural Science Foundation of Jiangsu Education Committee (No.05KJB110002). |
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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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