Abstract
Croke–Kleiner admissible groups first introduced by Croke and Kleiner [CK02] belong to a particular class of graphs of groups, which generalizes fundamental groups of three-dimensional graph manifolds. In this paper, we show that if G is a Croke–Kleiner admissible group, then a finitely generated subgroup of G has finite height if and only if it is strongly quasiconvex. We also show that if is a flip CKA action, then G is quasiisometrically embedded into a finite product of quasitrees. With further assumption on the vertex groups of the flip CKA action , we show that G satisfies property (QT) introduced by Bestvina, Bromberg, and Fujiwara [BBF21].
Citation
Hoang Thanh Nguyen. Wenyuan Yang. "Croke–Kleiner Admissible Groups: Property (QT) and Quasiconvexity." Michigan Math. J. 73 (5) 971 - 1019, November 2023. https://doi.org/10.1307/mmj/20216045
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