%0 Journal Article
%T Study of an identity
%A Patrick Dehornoy
%J Mathematics
%D 2001
%I arXiv
%X We solve the word problem of the identity $x(yz) = (xy)(yz)$ by investigating a certain group describing the geometry of that identity. We also construct a concrete realization of the free system of rank~1 relative to the above identity
%U http://arxiv.org/abs/math/0111158v1