FINITE SUBGROUPS OF HYPERBOLIC GROUPS

DOI10.1142/S0218196700000236zbMath1010.20030OpenAlexW2092160535MaRDI QIDQ4786255

Noel Brady

Publication date: 15 December 2002

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

Full work available at URL: https://doi.org/10.1142/s0218196700000236

zbMATH Keywords

finite subgroupsgenerating setshyperbolic groupsnumbers of generatorshyperbolicity constants

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Topological methods in group theory (57M07) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items

Co‐Hopfian virtually free groups and elementary equivalence ⋮ Tame automorphism groups of polynomial rings with property (T) and infinitely many alternating group quotients ⋮ On groups presented by inverse-closed finite confluent length-reducing rewriting systems ⋮ Makanin-Razborov diagrams for hyperbolic groups ⋮ Morse theory and conjugacy classes of finite subgroups. ⋮ Complementing a finite subgroup of a hyperbolic group by a free factor. ⋮ Detecting conjugacy stability of subgroups in certain classes of groups ⋮ Residual finiteness, QCERF and fillings of hyperbolic groups. ⋮ On intersections of conjugate subgroups ⋮ Elementary subgroups of virtually free groups ⋮ Knapsack problems in groups ⋮ Negative curvature in automorphism groups of one-ended hyperbolic groups

Cites Work

• Reductive groups over a local field
• Conjugacy Classes of Finite Subgroups of Kleinian Groups
• Semihyperbolic Groups