Ruwen Hollenbach

collaborators

3 papers

math.GR2019

The centralizer of a Coxeter element

Ruwen Hollenbach, Patrick Wegener

We prove that the centralizer of a Coxeter element in an irreducible Coxeter group is the cyclic group generated by that Coxeter element.

math.RT2019

Bounds on the number of simple modules in blocks of finite groups of Lie type

Ruwen Hollenbach

Let $G$ be a simple, simply connected linear algebraic group of exceptional type defined over $F_{q}$ with Frobenius endomorphism $F : G \to G$ . In this work we give upper bo…

math.RT2019

On $e$ -cuspidal pairs of finite groups of exceptional Lie Type

Ruwen Hollenbach

Let $G$ be a simple, simply connected algebraic group of exceptional type defined over $F_{q}$ with Frobenius endomorphism $F : G \to G$ . Let $ℓ ∤ q$ be a good prime f…

The centralizer of a Coxeter element

Bounds on the number of simple modules in blocks of finite groups of Lie type

On e-cuspidal pairs of finite groups of exceptional Lie Type

On $e$ -cuspidal pairs of finite groups of exceptional Lie Type