Patrick Wegener

activity

20142026

most citedReflection factorizations and quasi-Coxeter elements

2 citations · 3 across the 11 of their papers we have counts for

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math.GR2026

Hurwitz Equivalence of Reflection Factorizations in Types $B$ and $D$

Patrick Wegener

A conjecture of Lewis asserts that two reflection factorizations of the same element in a finite Coxeter group $W$ belong to the same Hurwitz orbit if and only if they generate the…

math.GR2026

Commutators of signed $n$ -cycles

Philipp Bader, Bernhard Böhmler, Patrick Wegener

We show that for $n \geq 6$ each element of the commutator subgroup in the symmetric group $S_{n}$ resp. in the signed symmetric group $(\mathbb{Z}/2\mathbb{Z})^n\rtimes\m…

math.GR2026

The Hurwitz Action in the Affine Symmetric Group

Patrick Wegener

Let $W$ be an affine Coxeter group of type $A_{n}$ , that is, the affine symmetric group $S_{N}$ with $N = n + 1$ , let $T$ be its set of reflections, and let $\mathr…

Hurwitz Equivalence of Reflection Factorizations in Types B and D

Commutators of signed n-cycles

The Hurwitz Action in the Affine Symmetric Group

Hurwitz Equivalence of Reflection Factorizations in Types $B$ and $D$

Commutators of signed $n$ -cycles