Separating quasiconvex subgroups of right-angled Artin groups

Mathematische Zeitschrift

Volumn 240, Issue 3, 2002, Pages 521-548

  Hsu, Tim ^a,c   Wise, Daniel T ^b,d  

^a POMONA COLLEGE   (United States)

^b BRANDEIS UNIVERSITY   (United States)

^c SAN JOSE STATE UNIVERSITY   (United States)

^d MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036022784     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090100329     Document Type: Article

References (28)

1. [AB95] Juan M. Alonso and Martin R. Bridson. Semihyperbolic groups. Proc. London Math. Soc. (3), 70:56-114, 1995
2. [Bau81] A. Baudisch. Subgroups of semifree groups. Acta Math. Acad. Sci. Hungar. 38(1-4):19-28, 1981
3. [BB97] Mladen Bestvina and Noel Brady. Morse theory and finiteness properties of groups. Invent. Math. 129(3):445-470, 1997
4. [BH99] Martin R. Bridson and André Haefliger. Metric spaces of non-positive curvature. Springer-Verlag, Berlin, 1999
5. [BKS87] R.G. Burns, A. Karrass, and D. Solitar. A note on groups with separable finitely generated subgroups. Bull. Austral. Math. Soc. 36(1): 153-160, 1987
6. [BN74] Andreas Blass and Peter M. Neumann. An application of universal algebra in group theory. Michigan Math. J. 21:167-169, 1974
7. [Dro87a] Carl Droms. Graph groups, coherence, and three-manifolds. J. Algebra 106(2):484-489, 1987
8. [Dro87b] Carl Droms. Isomorphisms of graph groups. Proc. Amer. Math. Soc. 100(3):407-408, 1987
9. [Dro87c] Carl Droms. Subgroups of graph groups. J. Algebra 110(2):519-522, 1987
10. [Gre90] Elisabeth R. Green. Graph Products of Groups. PhD thesis, University of Leeds, 1990
11. [Hal49] Marshall Hall, Jr. Coset representations in free groups. Trans. Amer. Math. Soc. 67:421-432, 1949
12. [HM95] Susan Hermitler and John Meier. Algorithms and geometry for graph products of groups. J. Algebra 171(1):230-257, 1995
13. [Hum94] S.P. Humphries. On representations of Artin groups and the Tits conjecture. J. Algebra 169:847-862, 1994
14. [HW99] Tim Hsu and Daniel T. Wise. On linear and residual properties of graph products. Michigan Math. J. 46(2):251-259, 1999
15. [Lau95] Michael R. Laurence. A generating set for the automorphism group of a graph group. J. London Math. Soc. (2) 52(2):318-334, 1995
16. [LS77] Roger C. Lyndon and Paul E. Schupp. Combinatorial group theory. Springer-Verlag, Berlin, 1977. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 89
17. [MV95] John Meier and Leonard VanWyk. The Bieri-Neumann-Strebel invariants for graph groups. Proc. London Math. Soc. (3) 71(2):263-280, 1995
18. [NR98] G.A. Niblo and L. D. Reeves. The geometry of cube complexes and the complexity of their fundamental groups. Topology 37(3):621-633, 1998
19. [NW] Graham A. Niblo and Daniel T. Wise. Subgroup separability, knot groups and graph manifolds. Proc. Amer. Math. Soc.
20. [NW98] Graham A. Niblo and Daniel T. Wise. The engulfing property for 3-manifolds. In The Epstein birthday schrift, pages 413-4 18 (electronic). Geom. Topol., Coventry, 1998
21. 1-injective surfaces in graph manifolds. Comment. Math. Helv. 73(4):499-515, 1998
22. [Sco78] Peter Scott. Subgroups of surface groups are almost geometric. J. London Math. Soc. (2) 17(3):555-565, 1978
23. [Ser89] Herman Servatius. Automorphisms of graph groups. J. Algebra 126(1):34-60, 1989
24. [Sho91 ] Hamish Short. Quasiconvexity and a theorem of Howson's. In Group theory from a geometrical viewpoint (Trieste, 1990), pages 168-176. World Sci. Publishing, River Edge, NJ, 1991
25. [SW79] Peter Scott and Terry Wall. Topological methods in group theory. In Homological group theory (Proc. Sympos., Durham, 1977), volume 36 of London Math. Soc. Lecture Note Ser., pages 137-203. Cambridge Univ. Press, Cambridge, 1979
26. [VW94] Leonard Van Wyk. Graph groups are biautomatic. J. Pure Appl. Algebra 94(3):341-352, 1994
27. [Wis96] Daniel T. Wise. Non-positively curved squared complexes, aperiodic tilings, and non-residually finite groups. PhD thesis, Princeton University, 1996
28. [Wis98] Daniel T. Wise. Subgroup separability of the figure 8 knot group. Preprint, 1998