On the Kurosh theorem and separability properties

Rita Gitik, Stuart W. Margolis, Benjamin Steinberg

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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 languageEnglish
Pages (from-to)87-97
Number of pages11
JournalJournal of Pure and Applied Algebra
Volume179
Issue number1-2
DOIs
StatePublished - 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.

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