The average element order and the number of conjugacy classes of finite groups

Author:

Khukhro E.I.,Moretó AlexanderORCID,Zarrin M.

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference30 articles.

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

2. A criterion for solvability of a finite group by the sum of element orders;Baniasad Azad;J. Algebra,2018

3. The power structure of metabelian p-groups;Blackburn;Proc. Am. Math. Soc.,1984

4. On the commuting probability in finite groups;Guralnick;J. Algebra,2006

5. On counterexamples to the Hughes conjecture;Havas;J. Algebra,2009

Cited by 9 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. Characterizing some finite groups by the average order;Quaestiones Mathematicae;2024-07-10

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

3. Prime divisors and the number of conjugacy classes of finite groups;Mathematical Proceedings of the Cambridge Philosophical Society;2023-07-10

4. On the average order of a finite group;Journal of Pure and Applied Algebra;2023-04

5. Some density results involving the average order of a finite group;Communications in Algebra;2023-03-23

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