Abstract
We prove a Kurosh-type subgroup theoremfor free products of LERF groups. This theorem permits a better understanding of how finitely generated subgroups are embedded in finite index subgroups. Consequences include the double coset separability of free products of negatively curved surface groups. Other properties of finitely generated subgroups of such free products are studied as well.
| Original language | English |
|---|---|
| Pages (from-to) | 87-97 |
| Number of pages | 11 |
| Journal | Journal of Pure and Applied Algebra |
| Volume | 179 |
| Issue number | 1-2 |
| DOIs | |
| State | Published - 1 Apr 2003 |
Bibliographical note
Funding Information:Gitik and Steinberg would like to thank the kind support and hospitality of the Emmy Noether Research Institute of the Department of Mathematics and Computer Science, Bar-Ilan University. The third author was supported in part by NSF-NATO postdoctoral fellowship DGE-9972697 and by FCT through Centro de Matemática da Universidade do Porto.
Funding
Gitik and Steinberg would like to thank the kind support and hospitality of the Emmy Noether Research Institute of the Department of Mathematics and Computer Science, Bar-Ilan University. The third author was supported in part by NSF-NATO postdoctoral fellowship DGE-9972697 and by FCT through Centro de Matemática da Universidade do Porto.
| Funders | Funder number |
|---|---|
| NSF-NATO | DGE-9972697 |
| Fundação para a Ciência e a Tecnologia | |
| Centro de Matemática Universidade do Porto |