A bijection from a finite group to the cyclic group with a divisibility property on the element orders
Autor: | Amiri, Mohsen |
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Rok vydání: | 2020 |
Předmět: | |
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: |