NS-supplemented Subgroups in Finite Groups of Small Order
In finite groups,the supplementary properties of subgroups have a significant impact on characterizing group structures.Based on the concept of NS-supplemented subgroups proposed by Monakhov et al.,from the specific groups,NS-supplemented subgroups in the symmetric group of degree 3 and degree 4 were investigated,and all NS-supplemented sub-groups were completely identified.This result will play a positive role in the subsequent research on related topics of NS-supplemented subgroups.
supplementary propertiesNS-supplemented subgroupssymmetric group
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