Confined subgroups of Thompson's group \(F\) and its embeddings into wobbling groups (Q2245016)
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scientific article; zbMATH DE number 7425888
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Confined subgroups of Thompson's group \(F\) and its embeddings into wobbling groups |
scientific article; zbMATH DE number 7425888 |
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Confined subgroups of Thompson's group \(F\) and its embeddings into wobbling groups (English)
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12 November 2021
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Summary: We obtain a characterisation of confined subgroups of Thompson's group \(F\). As a result, we deduce that the orbital graph of a point under an 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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Thompson's group \(F\)
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Schreier graphs
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confined subgroups
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wobbling groups
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