Outputs (2)

Finite groups and hyperbolic manifolds (2005)
Journal Article
Belolipetsky, M., & Lubotzky, A. (2005). Finite groups and hyperbolic manifolds. Inventiones Mathematicae, 162(3), 459-472. https://doi.org/10.1007/s00222-005-0446-z

The isometry group of a compact n-dimensional hyperbolic manifold is known to be finite. We show that for every n≥2, every finite group is realized as the full isometry group of some compact hyperbolic n-manifold. The cases n=2 and n=3 have been prov... Read More about Finite groups and hyperbolic manifolds.

A bound for the number of automorphisms of an arithmetic Riemann surface (2005)
Journal Article
Belolipetsky, M., & Jones, G. (2005). A bound for the number of automorphisms of an arithmetic Riemann surface. Mathematical Proceedings of the Cambridge Philosophical Society, 138(2), 289-299. https://doi.org/10.1017/s0305004104008035

We show that for every g > 1 there is a compact arithmetic Riemann surface of genus g with at least 4(g-1)automorphisms, and that this lower bound is attained by infinitely many genera, the smallest being 24.