Schreier graphs of actions of Thompson's group F on the unit interval and on the Cantor set

Details Schreier graphs of actions of Thompson's group F on the unit interval and on the Cantor set Schreier graphs of actions of Thompson's group F on the unit interval and on the Cantor set

2011-05-20

arxiv.org/abs/1105.4017v2

Mathematics

Group Theory

18 pages; 9 figures; Theorem 5 has been added; some proofs were expanded; a few references were added

Scientific paper

Schreier graphs of the actions of Thompson's group F on the orbits of all
points of the unit interval and of the Cantor set with respect to the standard
generating set {x_0,x_1} are explicitly constructed. The closure of the space
of pointed Schreier graphs of the action of F on the orbits of dyadic rational
numbers is described and the associated Schreier dynamical system is studied.

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