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A New Characterization of Simple K_3-groups 被引量:1
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作者 王临红 《Northeastern Mathematical Journal》 CSCD 2001年第2期205-209,共5页
In this paper, We show that the simple K\-3-groups can be characterized by the orders of their maximal abelian subgroups. That is, we have Theorem Let G be a finite group and M a simple K \-3-group. Then ... In this paper, We show that the simple K\-3-groups can be characterized by the orders of their maximal abelian subgroups. That is, we have Theorem Let G be a finite group and M a simple K \-3-group. Then G is isomorphic to M if and only if the set of the orders of the maximal abelian subgoups of G is the same as that of M . 展开更多
关键词 finite group simple k\-3-group maximal abelian subgroup prime graph
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