arXiv subjects

Lewis Molyneux

Publications and source records attributed to Lewis Molyneux.

2 recordsLinked to original sources

arXiv2026

Tree Pairs for Algebraic Bieri-Strebel Groups

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.

math.GR↗

arXiv2023

The Sigma invariants for the Golden Mean Thompson group

We use a method of Bieri, Geoghegan and Kochloukova to calculate the BNSR-invariants for the irrational slope Thompson's group $F_{\tau}$. To do so we establish conditions under which the Sigma invariants coincide with those of a subgroup of finite index, addressing a problem posed by Strebel.

math.GR↗