On NH-embedded and S-quasinormally embedded subgroups of finite groups

Zheng, Weicheng1; Cui, Liang1; Meng, Wei1,2; Lu, Jiakuan3

2023-07-01

10.1007/s40574-023-00379-3

BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA   影响因子和分区

1972-6724

2198-2759

Let G be a finite group and H a subgroup of G. H is said to be NH-embedded in G if there exists a normal subgroup T of G such that HT is a Hall subgroup of G and Hn T = HsG, where HsG is the largest s-semipermutable subgroup of G contained in H, and H is said to be S-quasinormally embedded in G provided every Sylow subgroup of H is a Sylow subgroup of some S-quasinormal subgroup of G. In this paper, we obtain some criteria for p- nilpotency and Supersolvability of a finite group and extend some known results concerning NH-embedded and S-quasinormally embedded subgroups.

S-quasinormally embedded NH-embedded p-nilpotent group Supersolvable

ESCI

英语

通讯

Innovation Project of GUET Graduate Education[2023YCXS112] ; National Natural Science Foundation of China["2021JJA10003","2020GXNSFAA238045"] ; null[12161021] ; null[11861015]

Mathematics

Mathematics

WOS:001030767400001

SPRINGER INT PUBL AG

Web of Science

1.Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Guangxi, Peoples R China
2.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518005, Guangdong, Peoples R China
3.Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi, Peoples R China

Zheng, Weicheng,Cui, Liang,Meng, Wei,et al. On NH-embedded and S-quasinormally embedded subgroups of finite groups[J]. BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA,2023.

Zheng, Weicheng,Cui, Liang,Meng, Wei,&Lu, Jiakuan.(2023).On NH-embedded and S-quasinormally embedded subgroups of finite groups.BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA.

Zheng, Weicheng,et al."On NH-embedded and S-quasinormally embedded subgroups of finite groups".BOLLETTINO DELLA UNIONE MATEMATICA ITALIANA (2023).