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math.GR2006
$\Out(F_n)$ and the spectral gap conjecture
David Fisher
For , given randomly chosen isometries of , it is well-known that the group $\G$ generated by acts ergodically on . It is conjectured in…
math.GR2005
Quasi-isometries and rigidity of solvable groups
Alex Eskin, David Fisher, Kevin Whyte
In this note, we announce the first results on quasi-isometric rigidity of non-nilpotent polycyclic groups. In particular, we prove that any group quasi-isometric to the three dime…