%0 Journal Article
%T Free group automorphisms, invariant orderings and topological applications
%A Dale Rolfsen
%A Bert Wiest
%J Mathematics
%D 2001
%I arXiv
%R 10.2140/agt.2001.1.311
%X We are concerned with orderable groups and particularly those with orderings invariant not only under multiplication, but also under a given automorphism or family of automorphisms. Several applications to topology are given: we prove that the fundamental groups of hyperbolic nonorientable surfaces, and the groups of certain fibred knots are bi-orderable. Moreover, we show that the pure braid groups associated with hyperbolic nonorientable surfaces are left-orderable.
%U http://arxiv.org/abs/math/0105205v1