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Proceedings of the American Mathematical Society

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An infinite class of irreducible homology $ 3$-spheres


Author: Jonathan L. Gross
Journal: Proc. Amer. Math. Soc. 25 (1970), 173-176
MSC: Primary 55.66
DOI: https://doi.org/10.1090/S0002-9939-1970-0268895-3
MathSciNet review: 0268895
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Abstract: A class of irreducible homology $ 3$-spheres is obtained by pasting together complements of torus knots. Representations of the fundamental groups of these homology $ 3$-spheres into symmetric groups are then used to distinguish the members of an infinite subclass.


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DOI: https://doi.org/10.1090/S0002-9939-1970-0268895-3
Keywords: Homology sphere, torus knot, fundamental group, presentation, symmetric group, representation
Article copyright: © Copyright 1970 American Mathematical Society

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