A combination theorem for strong relative hyperbolicity

Mj, Mahan¹ ; Reeves, Lawrence²

¹ RKM Vivekananda University, Belur Math, WB-711 202, India
² University of Melbourne, Victoria 3010, Australia

Geometry & topology, Tome 12 (2008) no. 3, pp. 1777-1798.

Résumé

We prove a combination theorem for trees of (strongly) relatively hyperbolic spaces and finite graphs of (strongly) relatively hyperbolic groups. This gives a geometric extension of Bestvina and Feighn’s Combination Theorem for hyperbolic groups and answers a question of Swarup. We also prove a converse to the main Combination Theorem.

Détail

DOI : 10.2140/gt.2008.12.1777

Keywords: relative hyperbolicity, tree, hyperbolic metric space

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