Conjugacy Problem in Thompson’s Group F
Thompson’s Group F; Piecewise linear homeomorphisms; Conjugacy Problem.
The main objective of this work is to describe a solution of the Conjugacy Problem in Thompson’s Group F, according to the article (GILL; SHORT, 2013). In this solution, the group F is represented as a group of piecewise linear homeomorphisms from the interval [0, 1] to itself. In parallel, two presentations for F will also be given, where one is finite and the other infinite.