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An exact upper bound for sums of element orders in non-cyclic finite groups

  • Published:2018-07 Issue:7 Volume:222 Page:1628-1642
  • ISSN:0022-4049
  • Container-title:Journal of Pure and Applied Algebra
  • language:en
  • Short-container-title:Journal of Pure and Applied Algebra

Author:

Herzog Marcel,Longobardi Patrizia,Maj Mercede

Funder

Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni

Istituto Nazionale di Alta Matematica "Francesco Severi"

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference11 articles.

1. Sums of element orders in finite groups;Amiri;Comm. Algebra,2009

2. Sum of element orders on finite groups of the same order;Amiri;J. Algebra Appl.,2011

3. Inequalities detecting structural properties of a finite group;Garonzi;Comm. Algebra,2017

4. Finite Groups;Gorenstein,1968

5. A remark on finite groups;Herstein;Proc. Amer. Math. Soc.,1958

Cited by 33 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An exact upper bound for the sum of powers of element orders in non-cyclic finite groups;Journal of Pure and Applied Algebra;2024-06

2. On the structure of finite groups determined by the arithmetic and geometric means of element orders;Communications in Algebra;2024-01-31

3. On groups with average element orders equal to the average order of the alternating group of degree \(5\);Glasnik Matematicki;2023-12-27

4. On the Sum of Orders of Elements in Finite Groups;Journal of Mathematical Sciences;2023-10

5. Subgroups with a small sum of element orders;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2023-07-18
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