Subgroup separability, knot groups and graph manifolds

Proceedings of the American Mathematical Society

Volumn 129, Issue 3, 2001, Pages 685-693

  Niblo, Graham A ^a,c   Wise, Daniel T ^a,b  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c Department of Obstetrics Gynecology   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23044528018     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/s0002-9939-00-05574-x     Document Type: Article

References (15)

1. [AG] R.B.J.T. Allenby and R.J. Gregorac, On locally extended residually finite groups, Conference on Group Theory (Univ. Wisconsin-Parkside, Kenosha, Wis., 1972). Lecture Notes in Math., Vol. 319, Springer, Berlin, 9-17. MR 52:3333
2. [BBS] A.M. Brunner, R.G. Burns, and D. Solitar, The subgroup separability of free products of two free groups with cyclic amalgamation, Contemp. Math. 33 (1984), 90-115. MR 86e:20033
3. [BKS] R.G. Burns, A. Karrass, and D. Solitar, A note on groups with separable finitely generated subgroups, Bull. Aust. Math. Soc. 36 (1987), 153-160. MR 88g:20057
4. [BZ] G. Burde and H. Zieschang, Knots, Walter de Gruyter, Berlin - NY, 1985. MR 87b:57004
5. [CJ] A. Casson and D. Jungreis, Convergence groups and Seifert fibered 3-manifolds, Invent. Math. 118 (1994), 441-156. MR 96f:57011
6. [G] D. Gabai, Convergence groups are Fuchsian groups, Ann. of Math. 136 (1992), 447-510. MR 93m:20065
7. [LN] D.D. Long and G.A. Niblo, Subgroup Separability and 3-manifold groups, Math. Z. 207 (1991), 209-215. MR 92g:20047
8. [LS] R.C. Lyndon, and P.E. Schupp, Combinatorial Group Theory, Springer-Verlag, 1977. MR 58:28182
9. [NW] G.A. Niblo and D.T. Wise, The engulfing property for 3-manifolds, in: The Epstein birthday schrift (1998), 413-418. MR 99k:57041
10. [Rob] D.J.S. Robinson, A Course in the Theory of Groups (Graduate Texts in Math., vol 80), Springer-Verlag, 1993. MR 94m:20001
11. [Rol] D. Rolfson, Knots and Links, Publish or Perish, Inc., Houston TX, 1990.
12. 1-injective surfaces in graph manifolds, Comm. Math. Helv. 73 (1998), 499-515. MR 99h:57039
13. [S] P. Scott, Subgroups of surface groups are almost geometric, J. London Math. Soc. (2) 17 (1979), 555-565. MR 58:12996; correction MR 87k:57003
14. [T] W. Thurston, Three dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. 6 (1982), 357-382. MR 83h:57019
15. [W] D.T. Wise, Subgroup separability of the figure 8 knot group, Preprint (1998).