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3 votes
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Given a metric space $X$, is there a natural way to view the quasi-isometry group $QI(X)$ as...

Given a metric space $(X,d)$, we define $QI(X)$ as the set of quasi-isometries $f : X \to X$, modulo the equivalence relation $$ f \sim g \ \ \ \ \text{ if and only if } \ \ \ \sup_{x \in X} \ d(f(x …
jpmacmanus's user avatar
5 votes
1 answer
157 views

Given a quasi-convex subgroup $H$ of hyperbolic $G$, can we decide if two elements $x,y \in ...

I've come across the following question in my research, which seems elusive but is almost surely decidable. Let $H$ be a quasi-convex subgroup of the hyperbolic group $G$. Given $x, y \in G$, we wish …
jpmacmanus's user avatar