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On c-Normal Subgroups of Finite Groups |
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| Authors: | Jehad J Jaraden Alexander N Skiba |
| Institution: | 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. |
| Keywords: | Finite group c-Normal subgroup Normal subgroup Saturated formation Sylow subgroup |