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math.GT2015
The (p, q)-arithmetic hyperbolic lattices; p, q greater than or equal to 6
Colin Maclachlan, Gaven Martin
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 conject…
math.GT1999★ 9 cited
Constructing Hyperbolic Manifolds
Brent Everitt, Colin Maclachlan
In this paper we show how to obtain representations of Coxeter groups acting on H^n to certain classical groups. We determine when the kernel of such a representation is torsion-fr…