Anne Thomas

activity

20242026

collaborators

4 papers

math.GR2026

Visualizing conjugation in affine Coxeter groups

Amy Herron, Anne Thomas

Affine Coxeter groups are fundamental objects in mathematics and in crystallography. If two group elements are conjugate, then they have very similar algebraic and geometric proper…

math.RT2025

Cubulation of Bruhat graphs

Alex Bishop, Elizabeth Milićević, Anne Thomas

For $(W, S)$ an arbitrary Coxeter system and any $y \in W$ , we investigate the condition that the Bruhat graph for the interval $[1, y]$ can be cubulated, meaning roughly that this g…

math.GR2024

The geometry of conjugation in affine Coxeter groups

Elizabeth Milićević, Petra Schwer, Anne Thomas

We develop new and precise geometric descriptions of the conjugacy class $[x]$ and coconjugation set $C (x, x^{'}) = {y \in W ∣ y x y^{- 1} = x^{'}}$ for all…

math.GR2024

The geometry of conjugation in Euclidean isometry groups

Elizabeth Milićević, Petra Schwer, Anne Thomas

We describe the geometry of conjugation within any split subgroup $H$ of the full isometry group $G$ of $n$ -dimensional Euclidean space. We prove that for any $h \in H$ , the conjug…