Hyperbolic actions of Thompson’s group <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>F</mml:mi> </mml:math> and generalizations
We study the poset of hyperbolic structures on Thompson’s group F and its generalizations F n for n ≥ 2 . The global structure of this poset is as simple as one would expect, with the maximal non-elementary elements being two quasi-parabolic actions corresponding to well-known ascending H...