Aleksander Skenderi

collaborators

4 papers

math.GR2026

Growth gaps and generating sets

Aleksander Skenderi, Gal Yehuda

We show that the existence of a growth gap for infinite-index subgroups of a given finitely genrated group can depend on the finite generating set. More precisely, for any irreduci…

math.GR2026

Zariski density of discrete subgroups via critical exponents and unitary representations

Aleksander Skenderi

Let $G$ be a connected real semisimple linear algebraic group with finite center and no compact factors, let $X$ denote its associated Riemannian symmetric space, and let $h_{\math…

math.GR2025

Asymptotically large free semigroups in Zariski dense discrete subgroups of Lie groups

Aleksander Skenderi

Let $G$ be a connected algebraic semisimple real Lie group with finite center and no compact factors, and let $Γ$ be a Zariski dense discrete subgroup of $G$ . We show that $Γ$ cont…

math.GR2025

Free Semigroups of Large Critical Exponent

Aleksander Skenderi

For a convergence group equipped with an expanding coarse-cocycle, we construct finitely generated free subsemigroups, which we call Bishop--Jones semigroups, of critical exponent…