Abstract
Let ℱ be a subgroup-closed formation and let G be a finite group. Then we definite Nℱ(G) as the intersection of the normalizers of the ℱ-residuals of all subgroups of G. The main aim of this article is to show the influence of the embedding of this subgroup in the group structure.
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ACKNOWLEDGMENT
The authors would like to thank the referee for his/her valuable suggestions and useful comments contributed to the final version of this article.