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- Conder, Marsten, et al.
(författare)
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Maximal Symmetry Groups of Hyperbolic three-manifolds
- 2006
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Ingår i: New Zealand Journal of Mathematics. - 1171-6096. ; 35:1, s. 37-62
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Tidskriftsartikel (refereegranskat)abstract
- 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.
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