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.
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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) |
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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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