Amenability problem for Thompson's group $F$: state of the art
Group Theory
2024-02-14 v4
Abstract
This is a survey of our recent results on the amenability problem for Thompson's group . They mostly concern esimating the density of finite subgraphs in Cayley graphs of for various systems of generators, and also equations in the group ring of . We also discuss possible approaches to solve the problem in both directions.
Keywords
Cite
@article{arxiv.2305.07113,
title = {Amenability problem for Thompson's group $F$: state of the art},
author = {Victor Guba},
journal= {arXiv preprint arXiv:2305.07113},
year = {2024}
}
Comments
24 pages, 2 figures. Published in journal of Groups, Complexity, Cryptology. arXiv admin note: text overlap with arXiv:2112.09812