On the supersoluble hypercentre of a finite group

Miao, Liyun; Ballester-Bolinches, Adolfo; Esteban Romero, Ramón; Li, Yangming

doi:10.1007/s00605-016-0987-9

On the supersoluble hypercentre of a finite group

Archivos

Miao;Ballester-Bolinches;Esteban - On the supersoluble hypercentre of a finite group.pdf (439.18 KB)

MiaoBallesterEstebanLi17-monatsh-supesol-hypercentre-fin-gp.pdf (361.15 KB)

Fecha

2017-12

Autores

Miao, Liyun

Ballester-Bolinches, Adolfo

Esteban Romero, Ramón

Li, Yangming

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Handle

https://riunet.upv.es/handle/10251/149078

Cita bibliográfica

Miao, L.; Ballester-Bolinches, A.; Esteban Romero, R.; Li, Y. (2017). On the supersoluble hypercentre of a finite group. Monatshefte für Mathematik. 184(4):641-648. https://doi.org/10.1007/s00605-016-0987-9

Resumen

[EN] We give some sufficient conditions for a normal p-subgroup P of a finite group G to have every G-chief factor below it cyclic. The S-permutability of some p-subgroups of O^p(G)plays an important role. Some known results can be reproved and some others appear as corollaries of our main theorems.