REFLECTIVE AND QUASI-REFLECTIVE BIANCHI GROUPS |
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Authors: | MIKHAIL BELOLIPETSKY JOHN MCLEOD |
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Affiliation: | 1. IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil 2. Department of Mathematical Sciences, Durham University, Durham, DH1 3LE, UK
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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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