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arXiv · 2602.08748

Tree Pairs for Algebraic Bieri-Strebel Groups

Lewis Molyneux
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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.

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Lewis Molyneux. 2026-02-09. Tree Pairs for Algebraic Bieri-Strebel Groups. https://arxiv.org/abs/2602.08748

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