Lower bounds on cubical dimension of $C'(1/6)$ groups

preprint2020arXivOpen access

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

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Lower bounds on cubical dimension of $C'(1/6)$ groups

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Lower bounds on cubical dimension of C′(1/6)C'(1/6)C′(1/6) groups

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Lower bounds on cubical dimension of $C'(1/6)$ groups