On the recursiveness of sets of presentations of 3-manifold groups
J. Stallings (1962)
Fundamenta Mathematicae
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J. Stallings (1962)
Fundamenta Mathematicae
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Im, Young Ho, Kang, Mee Kwang, Woo, Ki Mun (1998)
International Journal of Mathematics and Mathematical Sciences
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Steven Boyer, Dale Rolfsen, Bert Wiest (2005)
Annales de l’institut Fourier
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We investigate the orderability properties of fundamental groups of 3-dimensional manifolds. Many 3-manifold groups support left-invariant orderings, including all compact -irreducible manifolds with positive first Betti number. For seven of the eight geometries (excluding hyperbolic) we are able to characterize which manifolds’ groups support a left-invariant or bi-invariant ordering. We also show that manifolds modelled on these geometries have virtually bi-orderable groups. The question...
C. B. Thomas, C. T. C. Wall (1971)
Compositio Mathematica
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Tudor Ganea (1959)
Fundamenta Mathematicae
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C. Bruce Hughes (1985)
Compositio Mathematica
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I. Berstein, Tudor Ganea (1959)
Fundamenta Mathematicae
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R. J. Daverman (1985)
Compositio Mathematica
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