1. Department of Mathematics and Statistics , Al-Hussein Bin Talal University , Ma'an, Jordan jjaradeen@ahu.edu.jo;3. Department of Mathematics , Gomel State University of F. Skorina , Gomel, Belarus
Abstract:
Let G be a finite group. We fix in every noncyclic Sylow subgroup P of G some subgroup D satisfying 1 < |D| < |P| and study the structure of G under the assumption that all subgroups H of P with |H| = |D| are c-normal in G.