RGD-systems of type $(4, 4, 4)$ over $\mathbb{F}_2$ and tree products
Group Theory
2025-04-07 v1
Abstract
In this paper we prove that the group of an RGD-system of type over contains a certain tree product as a subgroup. The proof relies on a careful analysis of the action on the associated twin building. This result is part of a larger project and we will use it as an induction start to construct uncountably many RGD-systems of type over .
Cite
@article{arxiv.2504.03577,
title = {RGD-systems of type $(4, 4, 4)$ over $\mathbb{F}_2$ and tree products},
author = {Sebastian Bischof},
journal= {arXiv preprint arXiv:2504.03577},
year = {2025}
}