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arXiv · 1809.05146

Confined subgroups of Thompson's group $F$ and its embeddings into wobbling groups

Maksym Chaudkhari
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Abstract

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.

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Maksym Chaudkhari. 2018-09-13. Confined subgroups of Thompson's group $F$ and its embeddings into wobbling groups. https://arxiv.org/abs/1809.05146

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