Amenability and Thompson’s group F
Tutor / directorBurillo Puig, José
Document typeMaster thesis
Rights accessOpen Access
Amenability is a group theoretical property consisting in the existence of a finite measure defined on all subsets of the group. The concept is motivated and introduced, and some criteria, characterizations and generalizations are presented. Then, this property is studied in a particular group of homeomorphisms of the interval [0,1], Thompson's group F. This group is introduced, along with its most relevant properties, and some possible Folner sequences are proposed and studied.
DegreeMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)