0000000000617502

AUTHOR

Dale Rolfsen

showing 2 related works from this author

On orderability of fibred knot groups

2003

It is known that knot groups are right-orderable, and that many of them are not bi-orderable. Here we show that certain bred knots in S 3 (or in a homology sphere) do have bi-orderable fundamental group. In particular, this holds for bred knots, such as 41, for which the Alexander polynomial has all roots real and positive. This is an application of the construction of orderings of groups, which are moreover invariant with respect to a certain automorphism.

CombinatoricsAlgebraHOMFLY polynomialKnot invariantGeneral MathematicsSkein relationAlexander polynomialKnot polynomialTricolorabilityMathematics::Geometric TopologyMathematicsKnot theoryFinite type invariantMathematical Proceedings of the Cambridge Philosophical Society
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Invariant ordering of surface groups and 3-manifolds which fibre over $S^1$

2006

CombinatoricsDicyclic groupGeneral MathematicsInvariant (mathematics)Point groups in two dimensionsCovering groups of the alternating and symmetric groupsMathematicsNon-abelian groupMathematical Proceedings of the Cambridge Philosophical Society
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