112 citations · 117 across the 10 of their papers we have counts for
11 papers
On a question of Külshammer for representations of finite groups in reductive groups
Michael Bate, Benjamin Martin, Gerhard Röhrle
Let be a simple algebraic group of type over an algebraically closed field of characteristic . We give an example of a finite group with Sylow -subgroup a…
Nice reflection arrangements
Torsten Hoge, Gerhard Roehrle
The aim of this note is a classification of all nice and all inductively factored reflection arrangements. It turns out that apart from the supersolvable instances only the monomia…
On commuting varieties of nilradicals of Borel subalgebras of reductive Lie algebras
Simon Goodwin, Gerhard Roehrle
Let be a connected reductive algebraic group defined over an algebraically closed field $\mathbbm k$ of characteristic zero. We consider the commuting variety $\mathcal C(\math…
-complete reducibility and semisimple modules
M. Bate, S. Herpel, B. Martin +1
Let be a connected reductive algebraic group defined over an algebraically closed field % of characteristic . Our first aim in this note is to give concise and unifor…
Calculating conjugacy classes in Sylow -subgroups of finite Chevalley groups
Simon M. Goodwin, Gerhard Roehrle
In earlier work, the first author outlined an algorithm for calculating a parametrization of the conjugacy classes in a Sylow -subgroup of a finite Chevalley group …
Support Varieties, AR-Components, and Good Filtrations
Rolf Farnsteiner, Gerhard Roehrle
In continuation of work begun in \cite{FR}, we study in this article those Auslander--Reiten components of the algebras $\Dist(G_r)$ that contain simple modules or baby Verma modul…