Quasiconvexity and Amalgams

DOI10.1142/S0218196797000344zbMath0912.20031arXivmath/9506206OpenAlexW2009623201MaRDI QIDQ4399213

Ilya Kapovich

Publication date: 16 March 1999

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9506206

zbMATH Keywords

normal formsnegatively curved groupsword hyperbolic groupsfinitely generated groupsquasiconvex subgroupsCayley graphstreesgraphs of groupsamalgamated productsBass-Serre theoryrational subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Geometric group theory (20F65) Topological methods in group theory (57M07) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (7)

THE COMBINATION THEOREM AND QUASICONVEXITY ⋮ STALLINGS FOLDINGS AND SUBGROUPS OF AMALGAMS OF FINITE GROUPS ⋮ Combination of convergence groups. ⋮ Subgroup properties of fully residually free groups ⋮ Quasi-hyperbolic planes in hyperbolic groups ⋮ Intersection form, laminations and currents on free groups. ⋮ Howson property and one-relator groups¹

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