Lower bounds on cubical dimension of $C^{\prime }(1/6)$ groups

Abstract

For each $n$ we construct examples of finitely presented $C^{\prime }(1/6)$ small cancellation groups that do not act properly on any $n$-dimensional CAT(0) cube complex.

arXiv comment15 pages, 4 figures

References in corpus (5)

• Rank rigidity for CAT(0) cube complexes
• On embeddings of CAT(0) cube complexes into products of trees
• A Generalized Axis Theorem for Cube Complexes
• On the CAT(0) dimension of 2-dimensional Bestvina-Brady groups
• CAT(-1) metrics on small cancellation groups

Cited by in corpus (1)

• Groups acting on CAT(0) cube complexes with uniform exponential growth