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Subgroups of Bianchi groups and arithmetic quotients of hyperbolic 3-space

Subgroups of Bianchi groups and arithmetic quotients of hyperbolic 3-space

Let <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="script upper O"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi class="MJX-tex-caligraphic" mathvariant="script">O</mml:mi> </mml:mrow> <mml:annotation encoding="application/x-tex">\mathcal {O}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> be the ring of integers in an imaginary quadratic number-field. The group <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="PSL Subscript 2 Baseline left-parenthesis script upper O right-parenthesis"> <mml:semantics> <mml:mrow> <mml:msub> <mml:mrow …