Separable subsets of GFERF negatively curved groups

Journal of Algebra - Tập 304 - Trang 1090-1100 - 2006
Ashot Minasyan1
1Université de Genève, Section de Mathématiques, 2-4 rue du Lièvre, Case postale 64, 1211 Genève 4, Switzerland

Tài liệu tham khảo

Agol Agol, 2001, The Bianchi groups are separable on geometrically finite subgroups, Ann. of Math. (2), 153, 599, 10.2307/2661363 Alonso, 1991, Notes on word hyperbolic groups, 3 Calegari, 2006, Shrinkwrapping and the taming of hyperbolic 3-manifolds, J. Amer. Math. Soc., 19, 385, 10.1090/S0894-0347-05-00513-8 Coulbois, 2001, Free product, profinite topology and finitely generated subgroups, Internat. J. Algebra Comput., 11, 171, 10.1142/S0218196701000449 Ghys, 1990, Sur les Groupes Hyperboliques d'après Michael Gromov, vol. 83 Gitik, 1999, Doubles of groups and hyperbolic LERF 3-manifolds, Ann. of Math. (2), 150, 775, 10.2307/121056 Gitik, 1999, On the profinite topology on negatively curved groups, J. Algebra, 219, 80, 10.1006/jabr.1998.7847 Gitik, 1999, Ping-pong on negatively curved groups, J. Algebra, 217, 65, 10.1006/jabr.1998.7789 Gromov, 1987, Hyperbolic groups, vol. 8, 75 Grunschlag, 1999, Computing angles in hyperbolic groups, vol. 250, 59 Hsu, 2002, Separating quasiconvex subgroups of right-angled Artin groups, Math. Z., 240, 521, 10.1007/s002090100329 Kapovich, 2000, Mapping tori of endomorphisms of free groups, Comm. Algebra, 28, 2895, 10.1080/00927870008826999 Kapovich, 2000, The equivalence of some residual properties of word-hyperbolic groups, J. Algebra, 223, 562, 10.1006/jabr.1999.8104 Kharlampovich, 1998, Hyperbolic groups and free constructions, Trans. Amer. Math. Soc., 350, 571, 10.1090/S0002-9947-98-01773-5 Long, 1991, Subgroup separability and 3-manifold groups, Math. Z., 207, 209, 10.1007/BF02571384 Long, 2001, The fundamental group of the double of the figure-eight knot exterior is GFERF, Bull. London Math. Soc., 33, 391, 10.1017/S0024609301008219 Long, 2001, On subgroup separability in hyperbolic Coxeter groups, Geom. Dedicata, 87, 245, 10.1023/A:1012217512333 Minasyan, 2004, On products of quasiconvex subgroups in hyperbolic groups, Internat. J. Algebra Comput., 14, 173, 10.1142/S0218196704001712 Minasyan, 2005, On residualizing homomorphisms preserving quasiconvexity, Comm. Algebra, 33, 2423, 10.1081/AGB-200058383 Niblo, 1992, Separability properties of free groups and surface groups, J. Pure Appl. Algebra, 78, 77, 10.1016/0022-4049(92)90019-C Ol'shanskii, 2000, On the Bass–Lubotzky question about quotients of hyperbolic groups, J. Algebra, 226, 807, 10.1006/jabr.1999.8170 Pin, 1991, A conjecture on the Hall topology for the free group, Bull. London Math. Soc., 23, 356, 10.1112/blms/23.4.356 Ribes, 1993, On the profinite topology on a free group, Bull. London Math. Soc., 25, 37, 10.1112/blms/25.1.37 Schupp, 2003, Coxeter groups, 2-completion, perimeter reduction and subgroup separability, Geom. Dedicata, 96, 179, 10.1023/A:1022155823425 Scott, 1978, Subgroups of surface groups are almost geometric, J. London Math. Soc., 17, 555, 10.1112/jlms/s2-17.3.555 Short, 1991, Quasiconvexity and a theorem of Howson's, 168 Steinberg, 2002, Inverse automata and profinite topologies on a free group, J. Pure Appl. Algebra, 167, 341, 10.1016/S0022-4049(01)00030-5 Swarup, 1993, Geometric finiteness and rationality, J. Pure Appl. Algebra, 86, 327, 10.1016/0022-4049(93)90107-5 Wise, 2003, A residually finite version of Rips's construction, Bull. London Math. Soc., 35, 23, 10.1112/S0024609302001406 Wise