On the nilpotence class of commutative Moufang loops
- 1 November 1978
- journal article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 84 (3) , 387-404
- https://doi.org/10.1017/s0305004100055225
Abstract
The nilpotence class of the free commutative Moufang loop on n generators (n > 3) is the maximum allowed by the Bruck-Slaby Theorem, namely n 2, and then using the Macdonald-Wamsley technique of nilpotent group theory to show that this class is exactly 2n − 2.Keywords
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