On finite groups with s-weakly normal subgroups

被引:0
作者
Huo, Lijun [1 ]
Cheng, Weidong [2 ]
机构
[1] Chongqing Univ Technol, Sch Sci, Chongqing 400054, Peoples R China
[2] Chongqing Univ Posts & Telecommun, Sch Sci, Chongqing 400065, Peoples R China
来源
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2023年 / 49期
关键词
finite group; weakly normal subgroup; s-weakly normal subgroup; super-solvable group; nilpotent group; C-NORMALITY;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A subgroup H of a group G is weakly normal in G if H-g <= N-G(H) implies that g is an element of N-G(H) for any element g is an element of G. A subgroup H of a group G is s-weakly normal in G if there exists a normal subgroup T such that G = HT and H boolean AND T is weakly normal in G. Clearly a weakly normal subgroup of G is an s-weakly normal subgroup of G. In this paper, we investigate the influence of s-weakly normal subgroups on the structure of a finite group, especially some criteria for supersolvability, nilpotency, formation and hypercenter of a finite group are proved. Based on our results, some recent results can be generalized easily.
引用
收藏
页码:805 / 815
页数:11
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