The Influence of Primitive Subgroups on the Structure of Finite Groups

The Influence of Primitive Subgroups on the Structure of Finite Groups

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摘要 A subgroup H of a group G is said to be primitive if it is a proper subgroup of the intersection of all subgroups of G containing H as its proper subgroup. The purpose of this note is to go further into the influence of primitive subgroups on the structure of finite groups. Some new results are obtained. A subgroup H of a group G is said to be primitive if it is a proper subgroup of the intersection of all subgroups of G containing H as its proper subgroup. The purpose of this note is to go further into the influence of primitive subgroups on the structure of finite groups. Some new results are obtained.

作者 Liu Yu-feng Du Xian-kun

机构地区 School of Mathematics and Informational Science

出处《Communications in Mathematical Research》 CSCD 2013年第2期179-183,共5页 数学研究通讯（英文版）

基金 The NSF (11071147) of China

关键词 primitive subgroup supersoluble group structure of group primitive subgroup, supersoluble group, structure of group

分类号 O152.7 [理学—基础数学]

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The Influence of Primitive Subgroups on the Structure of Finite Groups

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