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arXiv · 2002.11455

A bijection from a finite group to the cyclic group with a divisibility property on the element orders

Mohsen Amiri
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Abstract

We show that any finite group $G$ there exists a bijction $f$ from $G$ onto $C_{n}$ such that $o(x)$ divides $o(f(x))$ for all $x\in G$. This confirm Problem 18.1 in [7].

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Mohsen Amiri. 2020-02-26. A bijection from a finite group to the cyclic group with a divisibility property on the element orders. https://arxiv.org/abs/2002.11455

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