Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2011
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/1108.5406 |
| Tags: |
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Inhaltsangabe:
- We give a simple proof of the well-known fact: any group of n elements is cyclic if and only if n and ϕ(n) are coprime. This note is accessible for students familiar with permutations and basic number theory. No knowledge of abstract group theory is required; a few necessary notions are introduced in the course of the proof. The note could also be an interesting easy reading for mature mathematicians.