86 citations · 543 across the 59 of their papers we have counts for
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math.GR2007
On sequences of finitely generated discrete groups
Michael Kapovich
We consider sequences of finitely generated discrete subgroups Gamma_i=rho_i(Gamma) of a rank 1 Lie group G, where the representations rho_i are not necessarily faithful. We show t…
math.GR2007★ 2 cited
Energy of harmonic functions and Gromov's proof of Stallings' theorem
Michael Kapovich
We provide the details for Gromov's proof of Stallings' theorem on groups with infinitely many ends using harmonic functions. The main technical result of the paper is a compactnes…
math.GR2007★ 3 cited
Homological dimension and critical exponent of Kleinian groups
Michael Kapovich
We prove that the relative homological dimension of a Kleinian group G does not exceed 1 + the critical exponent of G. As an application of this result we show that for a geometric…