Abstract
We provide an example of a torsion-free word hyperbolic one-relator group G which does not have the Howson property (the finitely generated intersection property). Moreover, this group G contains a free subgroup of rank two that is not quasiconvex in G. The group G also turns out to be not subgroup separable. Similarities and differences with 3-manifold groups are discussed.
Original language | English (US) |
---|---|
Pages (from-to) | 1057-1072 |
Number of pages | 16 |
Journal | Communications in Algebra |
Volume | 27 |
Issue number | 3 |
DOIs | |
State | Published - 1999 |
ASJC Scopus subject areas
- Algebra and Number Theory