Three-manifolds and Baumslag-Solitar groups

Topology and its Applications

Volumn 110, Issue 1, 2001, Pages 113-118

  Shalen, Peter B ^a  

^a UNIVERSITY OF ILLINOIS AT CHICAGO   (United States)

Author keywords

3 manifold group; Baumslag solitar relation; Torus Theorem

Indexed keywords

EID: 0011865416     PISSN: 0016660X     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0166-8641(99)00167-4     Document Type: Article

References (14)

1. A. Casson, D. Jungreis, Convergence groups and Seifert fibered 3-manifolds, Invent. Math. 118 (1994) 441-456.
2. D. Gabai, Convergence groups are Fuchsian groups, Ann. of Math. (2) 136 (1992) 447-510.
3. J. Hempel, 3-Manifolds, Ann. of Math. Studies, Vol. 86, Princeton Univ. Press/University of Tokyo Press, Princeton, NJ/Tokyo, 1976, xii+195 pp.
4. W. Jaco, Finitely presented subgroups of three-manifold groups, Invent. Math. 13 (1971) 335-346.
5. W.H. Jaco, P.B. Shalen, Seifert fibered spaces in 3-manifolds, Mem. Amer. Math. Soc. 21 (220) (1979) viii+192 pp.
6. K. Johannson, Homotopy Equivalences of 3-Manifolds with Boundaries, Lecture Notes in Math., Vol. 761, Springer, Berlin, 1979.
7. R.C. Lyndon, P.E. Schupp, Combinatorial Group Theory, Ergeb. Math. Grenzgeb., Vol. 89, Sprinnd 89, Springer, Berlin, 1977.
8. G. Mess, The Seifert conjecture and groups which are coarse quasiisometric to planes, Preprint, UCEA, Los Angeles, CA.
9. G.P. Scott, Finitely generated 3-manifold groups are finitely presented, J. London Math. Soc. (2) 6 (1973) 437-440.
10. G.P. Scott, Compact submanifolds of 3-manifolds, J. London Math. Soc. (2) 7 (1973) 246-250.
11. P. Scott, A new proof of the annulus and torus theorems, Amer. J. Math. 102 (1980) 241-277.
12. 1, Ann. of Math. (2) 117 (1983) 35-70.
13. P. Tukia, Homeomorphic conjugates of Fuchsian groups, J. Reine Angew. Math. 391 (1988) 1-54.
14. F. Waldhausen, Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten, Topology 6 (1967) 505-517.