Geodesic
Bol Loops of Nilpotence Class Two
Canadian journal of mathematics, Tome 59 (2007) no. 2, pp. 296-310

Voir la notice de l'article provenant de la source Cambridge University Press

Call a non-Moufang Bol loop minimally non-Moufang if every proper subloop is Moufang and minimally nonassociative if every proper subloop is associative. We prove that these concepts are the same for Bol loops which are nilpotent of class two and in which certain associators square to 1. In the process, we derive many commutator and associator identities which hold in such loops.
DOI : 10.4153/CJM-2007-012-7
Mots-clés : 20N05, Bol loop, Moufang loop, nilpotent, commutator, associator, minimally nonassociative 
Chein, Orin; Goodaire, Edgar G. Bol Loops of Nilpotence Class Two. Canadian journal of mathematics, Tome 59 (2007) no. 2, pp. 296-310. doi: 10.4153/CJM-2007-012-7
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