Local Moufang sets and local Jordan pairs
  In this paper, we extend the theory of special local Moufang sets. We construct a local Moufang set from every local Jordan pair, and we show that every local Moufang set satisfying certain (natural) conditions gives rise to a local Jordan pair. We also explore the connections between these two constructions. 
Tom De Medts, Erik Rijcken
math.GR math.RA