At the 2011 Durham Conference "Geometry and Arithmetic of Lattices" M. Kapovich formulated the following Question. Does there exist an embedding ℤ2 * ℤ ↪ SL(3, ℤ)? The goal of the paper is to prove the following Main Theorem. If p and m are arbitrary positive integers then there exists an embeddingℤ2 * Fm ↪ SL(3, ℤ[1/p]).