6533b873fe1ef96bd12d582a

RESEARCH PRODUCT

On the supersoluble hypercentre of a finite group

Adolfo Ballester-bolinchesAdolfo Ballester-bolinchesYangming LiYangming LiLiyun MiaoRamon Esteban-romeroRamon Esteban-romero

subject

Discrete mathematicsFinite groupP-supersoluble groupGeneral MathematicsS-semipermutable subgroup010102 general mathematicsGrups Teoria de01 natural sciencesMathematics::Group Theory0103 physical sciences010307 mathematical physicsFinite group0101 mathematicsMATEMATICA APLICADAMatemàticaMathematics

description

[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.

https://doi.org/10.1007/s00605-016-0987-9