Year: 2020
Type: preprint
Abstract: We observe that the group of all lifts of elements of Thompson's group $T$ to the real line is finitely presented and contains the additive group $\mathbb{Q}$ of the rational numbers. This gives an explicit realization of the Higman embedding theorem for $\mathbb{Q}$, answering a Kourovka notebook question of Martin Bridson and Pierre de la Harpe.
Source: arXiv (Cornell University)
Authors: Belk, James, Hyde, James, Matucci, Francesco
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G8631404110
OpenAlex ID: W4287781081