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arXiv · 1210.2759

Reflective and quasi-reflective Bianchi groups

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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Mikhail Belolipetsky, John Mcleod. 2013-06-03. Reflective and quasi-reflective Bianchi groups. https://arxiv.org/abs/1210.2759

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