1 citations · 1 across the 1 of their papers we have counts for
5 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…
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…
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…
Subspace stabilisers in hyperbolic lattices
Mikhail Belolipetsky, Nikolay Bogachev, Alexander Kolpakov +1
This paper shows that immersed totally geodesic -dimensional suborbifolds of -dimensional arithmetic hyperbolic orbifolds correspond to finite subgroups of the commensurator…
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.…