arXiv:2002.11455 [math.GR]AbstractReferencesReviewsResources
A bijection from a finite group to the cyclic group with a divisible property on the element orders
Published 2020-02-26Version 1
This paper proves that there exists a bijection $f$ from a finite group $G$ of order $n$ onto a cyclic group of order $n$ such that for each element $x\in G$ the order of $x$ divides the order of $f(x)$.
Related articles: Most relevant | Search more
arXiv:1903.09744 [math.GR] (Published 2019-03-23)
A criterion for nilpotency of a finite group by the sum of element orders
arXiv:1905.00815 [math.GR] (Published 2019-05-02)
On Two Conjectures about the Sum of Element Orders
arXiv:2203.00071 [math.GR] (Published 2022-02-28)
A graph related to the sum of element orders of a finite group