2 citations · 2 across the 3 of their papers we have counts for
4 papers · 1 filter
On Tits' Centre Conjecture for Fixed Point Subcomplexes
M. Bate, B. Martin, G. Roehrle
We give a short and uniform proof of a special case of Tits' Centre Conjecture using a theorem of J-P. Serre and a result from our earlier work. We consider fixed point subcomplexe…
Complete Reducibility and Separability
Michael Bate, Benjamin Martin, Gerhard Roehrle +1
Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p > 0. A subgroup of G is said to be separable in G if its global and infinitesimal…
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…
A Geometric Approach to Complete Reducibility
M. Bate, B. M. S. Martin, G. Roehrle
Let G be a connected reductive linear algebraic group. We use geometric methods to investigate G-completely reducible subgroups of G, giving new criteria for G-complete reducibilit…