
The hyperbolic plane admits a quasi-isometric embedding into a hyperbolic group if and only if the group is not virtually free.
20F67, 20F69, Geometric Topology (math.GT), Metric Geometry (math.MG), Group Theory (math.GR), hyperbolic planes, Hyperbolic groups and nonpositively curved groups, Mathematics - Geometric Topology, hyperbolic groups, Mathematics - Metric Geometry, quasi-isometric embeddings, FOS: Mathematics, 20F65, Mathematics - Group Theory, 20F65; 20F67; 20F69
20F67, 20F69, Geometric Topology (math.GT), Metric Geometry (math.MG), Group Theory (math.GR), hyperbolic planes, Hyperbolic groups and nonpositively curved groups, Mathematics - Geometric Topology, hyperbolic groups, Mathematics - Metric Geometry, quasi-isometric embeddings, FOS: Mathematics, 20F65, Mathematics - Group Theory, 20F65; 20F67; 20F69
| citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 26 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Top 10% | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
