Cayo D'oria

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20182024

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math.GR2023

Geometry and arithmetic of semi-arithmetic Fuchsian groups

Mikhail Belolipetsky, Gregory Cosac, Cayo Dória +1

Semi-arithmetic Fuchsian groups is a wide class of discrete groups of isometries of the hyperbolic plane which includes arithmetic Fuchsian groups, hyperbolic triangle groups, grou…

math.GR2018

Free subgroups of $3$ -manifold groups

Mikhail Belolipetsky, Cayo Dória

We show that any closed hyperbolic $3$ -manifold $M$ has a co-final tower of covers $M_{i} \to M$ of degrees $n_{i}$ such that any subgroup of $π_{1} (M_{i})$ generated by $k_{i}$ elements is…

Geometry and arithmetic of semi-arithmetic Fuchsian groups

Free subgroups of 3-manifold groups

Free subgroups of $3$ -manifold groups