Subgroup separability of graphs of free groups with cyclic edge groups

Quarterly Journal of Mathematics

Volumn 51, Issue 1, 2000, Pages 107-129

  Wise, By Daniel T ^a,b  

^a Department of Obstetrics Gynecology   (United States)

^b PRINCETON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039604297     PISSN: 00335606     EISSN: None     Source Type: Journal    
DOI: 10.1093/qmathj/50.1.107     Document Type: Article

References (28)

1. J. M. Alonso and et al., Notes on word hyperbolic groups, Group theory from a geometrical viewpoint (Trieste, 1990), 3-63. (Editor H. Short), World Sci. Publishing, River Edge, New Jersey, 1991.
2. G. Baumslag and D. Solitar, Some two-generator one-relator non-Hopfian groups, Bull. Amer. Math. Soc. 68 (1962), 199-201.
3. M. Bestvina and M. Feighn, A combination theorem for negatively curved groups, J. Diff. Geom. 35(1) (1992), 85-101.
4. M. R. Bridson and A. Haefliger, Metric spaces of non-positive curvature, Springer-Verlag, Berlin, 1999.
5. 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.
6. T. Delzant, Sous-groupes distingués et quotients des groupes hyperboliques, Duke Math. J. 83(3) (1996), 661-682.
7. R. Gitik, Graphs and separability properties of groups, J. Algebra 188(1) (1997), 125-143.
8. M. Gromov, Hyperbolic groups. In Essays in group theory, volume 8 of Math. Sci. Res. Inst. Publ., pages 75-263. Springer, New York, 1987.
9. M. Hall, Jr., Coset representations in free groups, Trans Amer. Math. Soc. 67 (1949), 421-432.
10. R. C. Lyndon and P. E. Schupp, Combinatorial group theory. Springer-Verlag, Berlin, 1977. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 89.
11. A. I. Mal'cev, On homomorphisms to finite groups, American Mathematical Society Translations, Series 2 119 (1983), 67-79.
12. S. Meskin, Nonresidually finite one-relator groups, Trans Amer. Math. Soc. 164 (1972), 105-114.
13. G. A. Niblo, H.N.N. extensions of a free group by ℤ which are subgroup separable, Proc. London Math. Soc. (3) 61(1) (1990), 18-32.
14. A. Yu. Ol'shanskiǐ, On residualing homomorphisms and G-subgroups of hyperbolic groups, Internat. J. Algebra Comput. 3(4) (1993), 365-409.
15. S. J. Pride, Some problems in combinatorial group theory. Groups - Korea 1988, Lecture Notes in Mathematics 1398 Springer-Verlag (1989) 146-155.
16. D. J. S. Robinson, A course in the theory of groups, 2nd Edition, Springer-Verlag, New York, 1996. Graduate texts in Mathematics, volume 80.
17. P. Scott, Subgroups of surface groups are almost geometric, J. London Math. Soc. (2) 17(3) (1978), 555-565.
18. P. Scott, Correction to: Subgroups of surface groups are almost geometric, [J. London Math. Soc. (2) 17 (1978), no. 3, 555-565 MR 58 #12996]. J. London Math. Soc. (2), 32(2) 217-220, 1985.
19. P. Scott, Correction to: Subgroups of surface groups are almost geometric, [J. London Math. Soc. (2) 17 (1978), no. 3, 555-565; MR 58 #12996]. J. London Math. Soc. (2), 32(2) 217-220, 1985.
20. P. Scott and T. Wall, Topological methods in group theory, Homological group theory (Proc. Symp., Durham, 1977), London Mathematical Society Lecture Note Series vol. 36, Cambridge University Press, Cambridge, 1979, pp. 137-203.
21. J.-P. Serre, Trees. Springer-Verlag, Berlin, 1980.
22. P. B. Shalen, Three-manifolds and Baumslag-Solitar groups. Preprint, 1998.
23. J. R. Stallings, Topology of finite graphs, Invent. Math. 71(3) (1983), 551-565.
24. P. F. Stebe, Conjugacy separability of certain free products with amalgamation, Trans Amer. Math. Soc. 156 (1971), 119-129.
25. W. P. Thurston, Three-dimensional manifolds, Kleinian groups and hyperbolic geometry, Bull. Amer. Math. Soc. (N.S.) 6(3) (1982), 357-381.
26. M. Tretkoff, Covering spaces, subgroup separability, and the generalized M. Hall property. Contemp. Math. 109 (1990) 179-191.
27. D. T. Wise, A non-Hopfian automatic group, J. Algebra 180(3) (1996), 845-847.
28. D. T. Wise, Non-positively curved squared complexes, aperiodic tilings, and non-residually finite groups. Ph.D. thesis, Princeton University, 1996.