Geodesic
Free group automorphisms, invariant orderings and topological applications
Rolfsen, Dale1 ; Wiest, Bert1
1Mathematics Department, University of British Columbia, 1984 Mathematics Road, Vancouver BC, Canada V6T 1Z2
Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 311-319
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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.

DOI : 10.2140/agt.2001.1.311
Keywords: Ordered group, surface group, knot group, surface braid group

Rolfsen, Dale  1   ; Wiest, Bert  1

1 Mathematics Department, University of British Columbia, 1984 Mathematics Road, Vancouver BC, Canada V6T 1Z2 
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Rolfsen, Dale; Wiest, Bert. Free group automorphisms, invariant orderings and topological applications. Algebraic and Geometric Topology, Tome 1 (2001) no. 1, pp. 311-319. doi: 10.2140/agt.2001.1.311

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