Division pairs: a new approach to Moufang sets

The concept of division pairs, a non-abelian version of Jordan division pairs, is introduced and a categorical equivalence between division pairs and Moufang sets is established. This is used to explain the non-uniqueness occurring in the description of Moufang sets in terms of pairs (U,τ) initiated by De Medts and Weiss.

(New version 08 Nov 2012, to appear in Adv. Geom.)

O. Loos < Ottmar.Loos@FernUni-Hagen.de >