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Free group automorphisms, invariant orderings and topological applications | Dale Rolfsen
; Bert Wiest
; | Date: |
25 May 2001 | Journal: | Algebr. Geom. Topol. 1 (2001) 311-319 | Subject: | Group Theory; Geometric Topology MSC-class: 6F15, 57M05 | math.GR math.GT | Abstract: | 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. | Source: | arXiv, math.GR/0105205 | Services: | Forum | Review | PDF | Favorites |
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