Tree Pairs for Algebraic Bieri-Strebel Groups
Group Theory
2026-02-10 v1
Abstract
We reintroduce a previously discovered method for constructing tree pair representations for Algebraic Bieri-Strebel groups, as well as demonstrate a class of higher order groups that cannot have a tree pair representation. In doing so, we demonstrate that there is no maximum degree such that for all polynomials of higher degree, the associated Algebraic Bieri Strebel group must have a tree-pair representation.
Keywords
Cite
@article{arxiv.2602.08748,
title = {Tree Pairs for Algebraic Bieri-Strebel Groups},
author = {Lewis Molyneux},
journal= {arXiv preprint arXiv:2602.08748},
year = {2026}
}
Comments
25 pages, 9 figures