8 citations · 11 across the 16 of their papers we have counts for
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math.GT2023
Effective flipping, skewering and rank rigidity for cubulated groups with factor systems
Abdul Zalloum
Relying on work of Caprace and Sageev \cite{capracesageev:rank}, we provide an effective form of rank rigidity in the context of groups virtually acting freely cocompactly on a CAT…
math.GR2023
Injectivity, cubical approximations and equivariant wall structures beyond CAT(0) cube complexes
Abdul Zalloum
This is an expository survey with two goals. 1) The primary goal is to discuss and highlight the impact of two recent influential ideas in geometric group theory. The first of whic…
math.GT2023
Uniform undistortion from barycentres, and applications to hierarchically hyperbolic groups
Carolyn Abbott, Mark Hagen, Harry Petyt +1
We show that infinite cyclic subgroups of groups acting uniformly properly on injective metric spaces are uniformly undistorted. In the special case of hierarchically hyperbolic gr…