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The Influence of Minimal Subgroups on the Structure of Finite Groups 被引量:8

The Influence of Minimal Subgroups on the Structure of Finite Groups
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摘要 Let G be a finite group.The question how the properties of its minimal subgroups influence the structure of G is of considerable interest for some scholars.In this paper we try to use c-normal condition on minimal subgroups to characterize the structure of G.Some previously known results are generalized. Let G be a finite group.The question how the properties of its minimal subgroups influence the structure of G is of considerable interest for some scholars.In this paper we try to use c-normal condition on minimal subgroups to characterize the structure of G.Some previously known results are generalized.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2000年第1期63-70,共8页 数学学报(英文版)
基金 The author is supported in part by NSF of China and NSF of Guangdong Province
关键词 c-normal subgroup SUPERSOLVABLE NILPOTENT Generalized Fitting subgroup c-normal subgroup Supersolvable Nilpotent Generalized Fitting subgroup
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