Hyperbolic manifolds and tessellations of type {3,5,3} associated with L_2(q)
Group Theory
2011-06-07 v1 Geometric Topology
Abstract
We classify the normal subgroups K of the tetrahedral group Delta=[3,5,3]^+, the even subgroup of the Coxeter group Gamma=[3,5,3], with Delta/K isomorphic to a finite simple group L_2(q). We determine their normalisers N(K) in the isometry group of hyperbolic 3-space H^3, the isometry groups N(K)/K of the associated hyperbolic 3-manifolds H^3/K, and the symmetry groups N_{Gamma}(K)/K of the icosahedral tessellations of these manifolds, giving a detailed analysis of how L_2(q) acts on these tessellations.
Keywords
Cite
@article{arxiv.1106.0867,
title = {Hyperbolic manifolds and tessellations of type {3,5,3} associated with L_2(q)},
author = {Gareth A. Jones and Cormac D. Long and Alexander D. Mednykh},
journal= {arXiv preprint arXiv:1106.0867},
year = {2011}
}
Comments
31 pages