Howson property and one-relator groups

Ilya Kapovich

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)1057-1072
Number of pages16
JournalCommunications in Algebra
Issue number3
StatePublished - 1999

ASJC Scopus subject areas

  • Algebra and Number Theory


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