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Results tagged with geometric-group-theory
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user 132356
Large scale properties of groups; growth functions; Dehn functions; small cancellation properties; hyperbolicity and CAT(0); actions and representations; combinatorial group theory; presentations
4
votes
1
answer
506
views
Amenable subsets of groups
Let $X$ be a subset of a group $G$. We say that $X$ is left amenable with respect to $G$ if there is a function $\mu:\mathcal P(G)\to [0,\infty]$ with the following three properties.
$\mu(A\cup B)=\m …
- 282
4
votes
Accepted
Amenable subsets of groups
Here is a slightly modified version of an example that was communicated to the author of the question by Nicolas Monod.
Let $k>1$ be an integer and $G$ the Baumslag-Solitar group $\mathrm{BS}(1,k)$; t …
- 282