3 papers
math.GR2024★ 1 cited
An Introduction to Geometric Group Theory
Mikhail Belolipetsky, Gisele Teixeira Paula
This book provides a self-contained introduction to geometric group theory. The topics range from an introduction of Cayley and Schreier graphs to Gromov's theorem on groups of pol…
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.NT2019
Height estimates for Bianchi groups
Cayo Dória, Gisele Teixeira Paula
We study the action of Bianchi groups on the hyperbolic -space . Given the standard fundamental domain for this action and any point in we show tha…