A group with deep pockets for all finite generating sets

Details A group with deep pockets for all finite generating sets A group with deep pockets for all finite generating sets

2007-03-30

arxiv.org/abs/math/0703926v1

Mathematics

Group Theory

13 pages, no figures

Scientific paper

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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