On c-normal and hypercentrally embeded subgroups of finite groups∗
نویسندگان
چکیده
In this article, we investigate the structure of a finite group G under the assumption that some subgroups of G are c-normal in G. The main theorem is as follows: Theorem A. Let E be a normal finite group of G. If all subgroups of Ep with order dp and 2dp (if p = 2 and Ep is not an abelian nor quaternion free 2-group) are c-normal in G, then E is p-hypercyclically embedded in G. We give some applications of the theorem and generalize some known results.
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