Fast growth in the Følner function for Thompson’s group $F$
Groups, geometry, and dynamics, Tome 7 (2013) no. 3, pp. 633-651
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The purpose of this note is to prove a lower bound on the growth of Følner functions for Richard Thompson’s group F. Specifically I will prove that, for any finite generating set Γ⊆F, there is a constant C such that FølF,Γ(Cn)≥ expn(0).
Classification :
20-XX, 43-XX
Mots-clés : Følner function, tower function, Thompson’s group, amenable
Mots-clés : Følner function, tower function, Thompson’s group, amenable
Affiliations des auteurs :
Justin Tatch Moore  1
Justin Tatch Moore. Fast growth in the Følner function for Thompson’s group $F$. Groups, geometry, and dynamics, Tome 7 (2013) no. 3, pp. 633-651. doi: 10.4171/ggd/201
@article{10_4171_ggd_201,
author = {Justin Tatch Moore},
title = {Fast growth in the {Følner} function for {Thompson{\textquoteright}s} group $F$},
journal = {Groups, geometry, and dynamics},
pages = {633--651},
year = {2013},
volume = {7},
number = {3},
doi = {10.4171/ggd/201},
url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/201/}
}
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