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Maximal Symmetry Groups of Hyperbolic three-manifolds

By Marsten Conder, Gaven Martin and Anna Torstensson


Every nite group acts as the full isometry group of some compact hyperbolic 3-manifold. In this paper we study those nite groups which act maximally, that is when the ratio jIsom+(M)j=vol(M)is maximal among all such manifolds. In two dimensions maximal symmetry groups are called Hurwitz groups, and arise as quotients of the (2,3,7){triangle group. Here we study quotients of the minimal co-volume lattice

Topics: Mathematics
Publisher: University of Auckland, Department of Mathematics
Year: 2006
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