Lagrange's theorem for Moufang loops
Abstract
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.
- Publication:
-
Mathematical Proceedings of the Cambridge Philosophical Society
- Pub Date:
- July 2005
- DOI:
- 10.1017/S0305004105008388
- Bibcode:
- 2005MPCPS.139...41G