Confined subgroups of Thompson's group F and its embeddings into wobbling groups [article]

Maksym Chaudkhari
<span title="2018-10-04">2018</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We obtain a characterisation of confined subgroups of Thompson's group F. As a result, we deduce that orbital graph of a point under action of F has uniformly subexponential growth if and only if this point is fixed by the commutator subgroup. This allows us to prove non-embeddability of F into wobbling groups of graphs with uniformly subexponential growth.
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="">arXiv:1809.05146v2</a> <a target="_blank" rel="external noopener" href="">fatcat:e74y7ajncnbkrf6rglyyxahsde</a> </span>
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