Petra Schwer

activity

20052026

most citedThe 6-strand braid group is CAT(0)

20 citations · 67 across the 25 of their papers we have counts for

collaborators

Showing 2024 · math.GRShow all

3 papers · 2 filters

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…

math.GR2024

Involutions in Coxeter groups

Anna Michael, Yuri Santos Rego, Petra Schwer +1

We combinatorially characterize the number $cc_{2}$ of conjugacy classes of involutions in any Coxeter group in terms of higher rank odd graphs. This notion naturally genera…