Subgroups of R. Thompson's group F that are isomorphic to F
This paper studies when a pair of elements in F are the images of the standard generators of F under a self monomorphism.
- Research Article
29
- 10.1016/s0021-8693(03)00516-7
- Oct 4, 2003
- Journal of Algebra
Thompson's group F is not almost convex
- Research Article
- 10.1112/blms.12757
- Dec 10, 2022
- Bulletin of the London Mathematical Society
We prove that Thompson's group has quadratic conjugator length function. That is, for any two conjugate elements of of length or less, there exists an element of of length that conjugates one to the other. Moreover, there exist conjugate pairs of elements of of length at most such that the shortest conjugator between them has length . This latter statement holds for and as well.
- Research Article
3
- 10.1016/j.jalgebra.2021.11.024
- Dec 1, 2021
- Journal of Algebra
Random generation of Thompson group F
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