activity
20222026
most citedCAT(0) Polygonal Complexes are 2-Median

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 papers

math.GR2026

Fixed point properties and cohomology of Banach representations of arithmetic groups

Saar Bader, Shaked Bader, Uri Bader +1

We study fixed point theorems for actions of lattices of semisimple groups. They are deduced from vanishing results for the group cohomology of -representations. We show that…

math.GR2026

Quasiisometric embeddings between right-angled Artin groups: flexibility

Shaked Bader, Oussama Bensaid, Harry Petyt

We give a complete characterisation of when the right-angled Artin group on one cycle graph can be quasiisometrically embedded in the right-angled Artin group on another cycle grap…

math.GR2026

Quasiisometric embeddings between right-angled Artin groups: rigidity

Shaked Bader, Oussama Bensaid, Harry Petyt

By introducing branching conditions on the defining graph, we prove a range of rigidity results for quasiisometric embeddings between right-angled Artin groups. The starting point…

math.GR2026

From branching quasiflats to flats in CAT(0) cube complexes

Shaked Bader, Oussama Bensaid, Harry Petyt

We study quasiisometric embeddings between finite-dimensional CAT(0) cube complexes. More specifically, we introduce geometric branching conditions under which flats in the domain,…

math.GR2024

Subgroups of word hyperbolic groups in dimension 2 over arbitrary rings

Shaked Bader, Robert Kropholler, Vladimir Vankov

In 1996, Gersten proved that finitely presented subgroups of a word hyperbolic group of integral cohomological dimension 2 are hyperbolic. We use isoperimetric inequalities over ar…

math.MG2022★ 1 cited

CAT(0) Polygonal Complexes are 2-Median

Shaked Bader, Nir Lazarovich

Median spaces are spaces in which for every three points the three intervals between them intersect at a single point. It is well known that rank-1 affine buildings are median spac…