Amalgamated products and the Howson property

Ilya Kapovich

Research output: Contribution to journalArticlepeer-review


We show that if A is a torsion-free word hyperbolic group which belongs to class (Q), that is all finitely generated subgroups of A are quasiconvex in A, then any maximal cyclic subgroup U of A is a Burns subgroup of A. This, in particular, implies that if B is a Howson group (that is the intersection of any two finitely generated subgroups is finitely generated) then A *U B, 〈A, t

Original languageEnglish (US)
Pages (from-to)330-340
Number of pages11
JournalCanadian Mathematical Bulletin
Issue number3
StatePublished - Sep 1997

ASJC Scopus subject areas

  • Mathematics(all)


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