Lagrange's theorem for Moufang loops
We prove that the order of any subloop of a finite Moufang loop is a factor of the order of the loop, thus obtaining an analog of Lagrange's theorem for finite Moufang loops.
Gespeichert in:
| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 2005-07, Vol.139 (1), p.41-57 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We prove that the order of any subloop of a finite Moufang loop is a factor of the order of the loop, thus obtaining an analog of Lagrange's theorem for finite Moufang loops. |
|---|---|
| ISSN: | 0305-0041 1469-8064 |
| DOI: | 10.1017/S0305004105008388 |