On c#-normal subgroups in finite groups

作     者：Huaquan WEI Qiao DAI Hualian ZHANG Yubo LV Liying YANG 

作者机构：College of Mathematics and Information Sciences Guangxi University Nanning 530004 China School of Mathematics and Statistics Guangxi Teachers Education University Nanning 530023 China 

出 版 物：《Frontiers of Mathematics in China》 (中国高等学校学术文摘·数学（英文）)

年 卷 期：2018年第13卷第5期

页      面：1169-1178页

核心收录：

学科分类：090602[农学-预防兽医学] 08[工学] 09[农学] 0906[农学-兽医学] 0835[工学-软件工程] 081202[工学-计算机软件与理论] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：国家自然科学基金 SRF of Guangxi University 

主　　题：Finite group c#-normal p-supersolvable p-nilpotent supersolvable 

摘      要：A subgroup H of a finite group G is called a c#-normal subgroup of G if there exists a normal subgroup K of G such that G = HK and H n K is a CAP-subgroup of G. In this paper, we investigate the influence of fewer c#- normal subgroups of Sylow p-subgroups on the p-supersolvability, p-nilpotency, and supersolvability of finite groups. We obtain some new sufficient and necessary conditions for a group to be p-supersolvable, p-nilpotent, and supersolvable. Our results improve and extend many known results.