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

Autor:	Amiri, Mohsen
Rok vydání:	2020
Předmět:	Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	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]. Comment: 14 pages, I added some corrections
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.11455 Zobrazit plný text záznamu View this record from Arxiv