P. Bader

collaborators

3 papers

math.GR2025

Commutators of n-cycles in the symmetric group

Philipp Bader

We show that for $n \geq 6$ every even permutation on $n$ symbols is the commutator of two $n$ -cycles. More precisely, let $S_{n}$ be the symmetric group and $A_{n}$ the alternating gro…

math.GT2025

Comparing TeichmÃ¼ller and curve graph translation lengths

Philipp Bader

A pseudo-Anosov mapping class acts on TeichmÃ¼ller space $T$ as well as on the curve graph $C$ with so called north-south dynamics. We can measure a stable tran…

math.GT2024

Prym Representations of the Handlebody Group

Philipp Bader

Let $S$ be an oriented, closed surface of genus $g .$ The mapping class group of $S$ is the group of orientation preserving homeomorphisms of $S$ modulo isotopy. In 1997, Looijenga…