37 citations · 125 across the 31 of their papers we have counts for
42 papers
Normalizers of lattices and isometry groups of arithmetic hyperbolic manifolds
Mikhail Belolipetsky, Tam Cheetham-West
We prove that every arithmetic lattice in PSL and every arithmetic lattice of the simplest type in PO, , is the normalizer of arbitrarily many of its…
A strong height gap theorem for
Mikhail Belolipetsky, Sebastian Hurtado
The height gap theorem states that the finite subsets of matrices generating non-virtually solvable groups have normalized height bounded below by a constant.…
On multiplicities in length spectra of semi-arithmetic hyperbolic surfaces
Mikhail Belolipetsky, Gregory Cosac, Cayo Dória +1
We show that semi-arithmetic surfaces of arithmetic dimension two which admit a modular embedding have exponential growth of mean multiplicities in their length spectrum. Prior to…
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…
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…
Growth of k-dimensional systoles in congruence coverings
Mikhail Belolipetsky, Shmuel Weinberger
We study growth of absolute and homological -dimensional systoles of arithmetic -manifolds along congruence coverings. Our main interest is in the growth of systoles of manif…