Second Maximum Sum of Element Orders of Finite Nilpotent Groups |
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| Authors: | Seyyed Majid Jafarian Amiri |
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| Affiliation: | 1. Department of Mathematics, Faculty of Sciences , University of Zanjan , Zanjan , Iran sm_jafarian@znu.ac.ir;4. sm.jafariana110@gmail.com |
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| Abstract: | In [1 Amiri , H. , Jafarian Amiri , S. M. , Isaacs , I. M. ( 2009 ). Sums of element orders in finite groups . Communications in Algebra 37 : 2978 – 2980 .[Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]], the authors proved that the maximum sum of element orders on finite groups of the same order occurs in cyclic group. In this paper we obtain the structure of groups having maximum sum of element orders on noncyclic nilpotent group of the same order. |
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| Keywords: | Element orders Finite groups Nilpotent groups |
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