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RESEARCH PRODUCT

C-Supplemented subgroups of finite groups

Adolfo Ballester-bolinchesGuo XiuyunYanming Wang

subject

Discrete mathematicsNormal subgroupCombinatoricsComplement (group theory)Maximal subgroupSubgroupLocally finite groupGeneral MathematicsCharacteristic subgroupIndex of a subgroupFitting subgroupMathematics

description

A subgroup H of a group G is said to be c-supplemented in G if there exists a subgroup K of G such that HKa G and H\ K is contained in CoreGOHU .W e follow Hall's ideas to characterize the structure of the finite groups in which every subgroup is c-supplemented. Properties of c-supplemented subgroups are also applied to determine the structure of some finite groups.

https://doi.org/10.1017/s001708950003007x