Free group automorphisms, invariant orderings and topological applications
Free group automorphisms, invariant orderings and topological applications
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 biorderable.Moreover, …