Geodesic
Confined subgroups of Thompson's group $F$ and its embeddings into wobbling groups
Maksym Chaudkhari1
1The University of Texas at Austin, USA
Groups, geometry, and dynamics, Tome 15 (2021) no. 2, pp. 491-501

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DOI

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.
DOI : 10.4171/ggd/604
Classification : 20-XX, 37-XX
Mots-clés : Thompson's group F, Schreier graphs, confined subgroups, wobbling groups.

Maksym Chaudkhari  1

1 The University of Texas at Austin, USA 
Maksym Chaudkhari. Confined subgroups of Thompson's group $F$ and its embeddings into wobbling groups. Groups, geometry, and dynamics, Tome 15 (2021) no. 2, pp. 491-501. doi: 10.4171/ggd/604
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     pages = {491--501},
     year = {2021},
     volume = {15},
     number = {2},
     doi = {10.4171/ggd/604},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/604/}
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