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Growth of finitely generated solvable groups and curvature of Riemannian manifolds

Growth of finitely generated solvable groups and curvature of Riemannian manifolds

If a group Γ is generated by a finite subset 5, then one has the gs, where gs(m) is the number of distinct elements of Γ expressible as words of length <m on 5. Roughly speaking, J. Milnor [9] shows that the asymptotic behaviour of gs does not depend on …