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The Influence of Minimal Subgroups on the Structure of Finite Groups
Authors:Yanming Wang
Institution:(1) Mathematics Department, Zhongshan University, Guangzhou 510275, P.R. China
Abstract:Abstract 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. The author is supported in part by NSF of China and NSF of Guangdong Province
Keywords:c-normal subgroup  Supersolvable  Nilpotent  Generalized Fitting subgroup
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