First Sentence:
Let G be a finitely generated group with a finite generating set S.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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translation length function, cyclic edge stabilizers, geodesic currents, binatorial group theory, simplicial tree, negatively curved group, arc stabilizers, simplicial actions, quotient diagrams, admissible inclusions, curved groups, linear subtree, hyperbolic elements, global fixed point, convex subgroup, linear rigidity, measured foliation, long diagram, ordered abelian group, free abelian subgroup, vertex groups, punctured torus, right coset representatives, fundamental domain for the action, straight arcs
Key Phrases - Capitalized Phrases (CAPs):
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London Math, New York, Department of Mathematics, Columbia University, Annals of Math, Princeton Univ, Academic Press, Los Angeles, Mathematical Sciences Research Institute
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