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A New Characterization of Simple K_3-groups 被引量:1

A New Characterization of Simple K_3-groups
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摘要 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 . 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 .
作者 王临红
出处 《Northeastern Mathematical Journal》 CSCD 2001年第2期205-209,共5页 东北数学(英文版)
关键词 finite group simple K\-3-group maximal abelian subgroup prime graph finite group, simple K\-3-group, maximal abelian subgroup, prime graph
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