Displaying similar documents to “Numerical invariants of exponential groups and locally free approximation of the braid group.”

Conjugacy pinched and cyclically pinched one-relator groups.

Benjamin Fine, Gerhard Rosenberger, Michael Stille (1997)

Revista Matemática de la Universidad Complutense de Madrid

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Here we consider two classes of torsion-free one-relator groups which have proved quite amenable to study-the cyclically pinched one-relator groups and the conjugacy pinched one-relator groups. The former is the class of groups which are free products of free groups with cyclic amalgamations while the latter is the class of HNN extensions of free groups with cyclic associated subgroups. Both are generalizations of surface groups. We compare and contrast results in these classes relative...

Uniform growth of groups acting on Cartan–Hadamard spaces

Gérard Besson, Gilles Courtois, Sylvestre Gallot (2011)

Journal of the European Mathematical Society

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In this paper we investigate the growth of finitely generated groups. We recall the definition of the algebraic entropy of a group and show that if the group is acting as a discrete subgroup of the isometry group of a Cartan–Hadamard manifold with pinched negative curvature then a Tits alternative is true. More precisely the group is either virtually nilpotent or has a uniform growth bounded below by an explicit constant.