𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Graph groups, coherence, and three-manifolds

✍ Scribed by Carl Droms


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
299 KB
Volume
106
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Three-manifolds and Baumslag–Solitar gro
✍ Peter B. Shalen πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 63 KB

We show that the Baumslag-Solitar relation x n = yx m y -1 cannot hold in a nondegenerate way in the fundamental group of an orientable 3-manifold. This generalizes a result proved by Jaco and Shalen for the case of a Haken manifold. The generalization uses the general version of the Torus Theorem,

On universal groups and three-manifolds
✍ H. M. Hilden; M. T. Lozano; J. M. Montesinos; W. C. Whitten πŸ“‚ Article πŸ“… 1987 πŸ› Springer-Verlag 🌐 English βš– 635 KB
Separability criterion for graph-manifol
✍ Saburo Matsumoto πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 196 KB

Some recent work in the theory of 3-manifolds and immersed surfaces indicates that the class of graph manifolds contains a large number of compact 3-manifolds whose fundamental groups are not subgroup separable (LERF). Rubinstein and Wang have given a criterion to determine whether or not a given ho