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REFLECTIVE AND QUASI-REFLECTIVE BIANCHI GROUPS
Authors:MIKHAIL BELOLIPETSKY  JOHN MCLEOD
Affiliation:1. IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil
2. Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, UK
Abstract:A discrete subgroup of the group of isometries of the hyperbolic space is called reflective if up to a finite index it is generated by reflections in hyperplanes. The main result of this paper is a complete classification of the reflective (and quasi-reflective) subgroups among the Bianchi groups and their extensions.
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