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A group with deep pockets for all finite generating sets

Andrew D. Warshall
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Abstract

We show that the discrete Heisenberg group has unbounded dead-end depth with respect to every finite generating set. We also show that, in contrast, it has bounded retreat depth.

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Andrew D. Warshall. 2007-03-30. A group with deep pockets for all finite generating sets. https://arxiv.org/abs/math/0703926

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