112 citations · 117 across the 10 of their papers we have counts for
7 papers · 1 filter
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…
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 …
Parabolic conjugacy in general linear groups
Simon M. Goodwin, Gerhard Roehrle
Let q be a power of a prime and n a positive integer. Let P(q) be a parabolic subgroup of the finite general linear group GL(n,q). We show that the number of P(q)-conjugacy classes…
Complete Reducibility and Commuting Subgroups
M. Bate, B. M. S. Martin, G. E. Roehrle
Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p. We study J.-P. Serre's notion of G-complete reducibility for subgroups of G. In…
The orbit structure of Dynkin curves
Simon M. Goodwin, Lutz Hille, Gerhard Roehrle
Let G be a simple algebraic group over an algebraically closed field k; assume that Char k is zero or good for G. Let \cB be the variety of Borel subgroups of G and let e in Lie G…