TY - JOUR
T1 - Amalgamated products and the Howson property
AU - Kapovich, Ilya
PY - 1997/9
Y1 - 1997/9
N2 - 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
AB - 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
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U2 - 10.4153/CMB-1997-039-3
DO - 10.4153/CMB-1997-039-3
M3 - Article
AN - SCOPUS:0031227391
SN - 0008-4395
VL - 40
SP - 330
EP - 340
JO - Canadian Mathematical Bulletin
JF - Canadian Mathematical Bulletin
IS - 3
ER -