0000000001290946

AUTHOR

Liyun Miao

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On the supersoluble hypercentre of a finite group

2016

[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.

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