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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★ 1 cited
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.GR2016★ 3 cited
Comparison of Volumes of Siegel Sets and Fundamental Domains of
Gisele Teixeira Paula
The purpose of this paper is to calculate explicitly the volumes of Siegel sets which are coarse fundamental domains for the action of in $\mathrm{SL}_…