9 citations · 13 across the 4 of their papers we have counts for
4 papers
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…
The Geometry and Arithmetic of Kleinian Groups
Gaven J. Martin
In this article we survey and describe various aspects of the geometry and arithmetic of Kleinian groups - discrete nonelementary groups of isometries of hyperbolic -space. In p…
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…
Arithmeticity, Discreteness and Volume
F. W. Gehring, C. Maclachlan, G. J. Martin +1
We give an arithmetic criterion which is sufficient to imply the discreteness of various two-generator subgroups of . We then examine certain two-generator groups…