Profinite non-rigidity of arithmetic groups
/ Authors
/ Abstract
We show that for a typical high rank arithmetic lattice $\Gamma$, there exist finite index subgroups $\Gamma_{1}$ and $\Gamma_{2}$ such that $\Gamma_{1} \not\simeq \Gamma_{2}$ while $\widehat{\Gamma_{1}} \simeq \widehat{\Gamma_{2}}$. But there are exceptions to that rule.
Journal: Groups, Geometry, and Dynamics
DOI: 10.4171/ggd/815