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Let H be a torsion-free δ-hyperbolic group with respect to a finite generating set S.) for every word W in n variables and length up to a computable constant depending only on δ, ♯S and n r=1 |g r |. As a corollary we deduce, that there exists a computable constant C = C(δ, ♯S) such that for any endomorphism ϕ of H if ϕ(h) is conjugate to h for every… (More)

- O. Bogopolski, E. Ventura
- 2008

While Dehn functions, D(n), of finitely presented groups are very well studied in the literature , mean Dehn functions are much less considered. M. Gromov introduced the notion of mean Dehn function of a group, D mean (n), suggesting that in many cases it should grow much more slowly than the Dehn function itself. Using only elementary counting methods,… (More)

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