Subgroup properties of fully residually free groups

Authors
Kapovich, I
Citation
I. Kapovich, Subgroup properties of fully residually free groups, T AM MATH S, 354(1), 2001, pp. 335-362
Citations number
67
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947 → ACNP
Volume
354
Issue
1
Year of publication
2001
Pages
335 - 362
Database
ISI
SICI code
0002-9947(2001)354:1<335:SPOFRF>2.0.ZU;2-9
Abstract
We prove that fully residually free groups have the Howson property, that i s the intersection of any two finitely generated subgroups in such a group is again finitely generated. We also establish some commensurability proper ties for finitely generated fully residually free groups which are similar to those of free groups. Finally we prove that for a finitely generated ful ly residually free group the membership problem is solvable with respect to any finitely generated subgroup.