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Relative growth series in some hyperbolic groups

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Publication:1271223
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DOI10.1007/s002080050214zbMath0914.20035OpenAlexW2081647594MaRDI QIDQ1271223

Richard Sharp

Publication date: 20 April 1999

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.8.9662


zbMATH Keywords

finitely generated groupshyperbolic groupsfinite generating setsword metricsgroups of isometriesconvex co-compact groupsgroups acting on hyperbolic spacesrelative growth seriesstrongly Markov groups


Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Fundamental group, presentations, free differential calculus (57M05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Derived series, central series, and generalizations for groups (20F14)


Related Items

Relative growth in hyperbolic groups ⋮ Entropy and drift in word hyperbolic groups ⋮ Geodesic length spectrum on compact Riemann surfaces ⋮ Conjugacy growth of commutators ⋮ The relative exponential growth rate of subgroups of acylindrically hyperbolic groups ⋮ Statistical limit laws for hyperbolic groups



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