On the Kurosh theorem and separability properties

Journal of Pure and Applied Algebra

Volumn 179, Issue 1-2, 2003, Pages 87-97

  Gitik, Rita ^a   Margolis, Stuart W ^a   Steinberg, Benjamin ^b  

^a BAR ILAN UNIVERSITY   (Israel)

^b UNIVERSITY OF PORTO   (Portugal)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037398929     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(02)00210-4     Document Type: Article

References (19)

1. M. Bestvina, M. Feighn, A combination theorem for negatively curved groups, J. Differential Geom. 35 (1992) 85-101.
2. A.M. Brunner, R.G. Burns, D. Solitar, The subgroup separability of free products of two free groups with cyclic amalgamation, in: K.I. Appel, J.G. Ratcliffe, P.E. Schupp (eds.), Contemporary Mathematics, Vol. 33, American Mathematical Society, Providence, RI, 1984, pp. 90-114.
3. R.G. Burns, On finitely generated subgroups of free products, J. Austral. Math. Soc. 12 (1971) 358-364.
4. T. Coulbois, Free product, profinite topology and finitely generated subgroups, 1999, preprint.
5. R. Gitik, Graphs and separability properties of groups, J. Algebra 188 (1997) 125-143.
6. R. Gitik, On quasiconvex subgroups of negatively curved groups, J. Pure Appl. Algebra 119 (1997) 155-169.
7. R. Gitik, On the profinite topology on negatively curved groups, J. Algebra 219 (1999) 80-86.
8. R. Gitik, E. Rips, On separability properties of groups, Int. J. Algebra Comput. (1995) 703-717.
9. M. Gromov, Hyperbolic groups, in: S.M. Gersten (Ed.), Essays in Group Theory, MSRI Series, Vol. 8, Springer, Berlin, 1987, pp. 75-263.
10. M. Hall Jr., Coset representation in free groups, Trans. Amer. Math. Soc. 67 (1949) 421-432.
11. M. Hall Jr., A topology for free groups and related groups, Ann. of Math. 52 (1950) 127-139.
12. G. Niblo, Separability properties of free groups and surface groups, J. Pure Appl. Algebra 78 (1992) 77-84.
13. J.-E. Pin, C. Reutenauer, A conjecture on the Hall topology for the free group, Bull. London Math. Soc. 23 (1991) 356-362.
14. L. Ribes, P.A. Zalesskiǐ, On the profinite topology on a free group, Bull. London Math. Soc. 25 (1993) 37-43.
15. N.S. Romanovskii, On the residual finiteness of free products with respect to subgroups (Russian), Izv. Akad. Nauk SSSR, Ser. Mat. 33 (1969) 1324-1329.
16. G.P. Scott, Subgroups of surface groups are almost geometric, J. London Math. Soc. 17 (1978) 555-565.
17. J.-P. Serre, Trees, Springer, Heidelberg, 1980.
18. J. Stallings, Topology of finite graphs, Invent. Math. 71 (1983) 551-565.
19. J. Stillwell, Classical Topology and Combinatorial Group Theory, Springer, Berlin, 1980.