GEOMETRICITY AND POLYGONALITY IN FREE GROUPS

DOI10.1142/S0218196711006157zbMath1228.20034arXiv0910.5019MaRDI QIDQ2996846

Sang-hyun Kim

Publication date: 3 May 2011

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

Full work available at URL: https://arxiv.org/abs/0910.5019

zbMATH Keywords

Cayley graphshyperbolic groupsfree groupssubgroup separabilityWhitehead graphshyperbolic surface subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67) Group actions on manifolds and cell complexes in low dimensions (57M60) Residual properties and generalizations; residually finite groups (20E26)

Related Items

Hyperbolic surface subgroups of one-ended doubles of free groups

Cites Work

• Surface subgroups from homology.
• Topology of finite graphs
• Diskbusting elements of the free group
• Hall's theorem for limit groups.
• On Certain Sets of Elements in a Free Group