The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 6

Colin Maclachlan; Gaven Martin

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arXiv · 1502.05453

The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 6

Colin Maclachlan·Gaven Martin

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Abstract

We prove there are exactly 16 arithmetic lattices of hyperbolic 3-space which are generated by two elements of finite orders p and q with p,q at least six. We also verify a conjecture of H.M. Hilden, M.T. Lozano, and J.M. Montesinos concerning the orders of the singular sets of arithmetic orbifold Dehn surgeries on two bridge knot and link complements.

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BibTeX RIS

Colin Maclachlan, Gaven Martin. 2015-02-19. The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 6. https://arxiv.org/abs/1502.05453

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