Finite Groups with Some S-quasinormally Embedded Subgroups |
| |
Authors: | Yangming Li |
| |
Institution: | 1. Department of Mathematics , Guangdong Institute of Education , Guangzhou, China liyangming@gdei.edu.cn |
| |
Abstract: | Suppose that G is a finite group and H is a subgroup of G. H is said to be S-quasinormal in G if it permutes with every Sylow subgroup of G; H is said to be S-quasinormally embedded in G if for each prime p dividing |H|, a Sylow p-subgroup of H is also a Sylow p-subgroup of some S-quasinormal subgroup of G. We investigate the influence of S-quasinormally embedded subgroups on the structure of finite groups. Some recent results are generalized. |
| |
Keywords: | p-Nilpotent group S-quasinormally embedded subgroup Supersolvable group |
|
|