19 citations · 63 across the 19 of their papers we have counts for
13 papers · 1 filter
Complete reducibility and subgroups of exceptional algebraic groups
Alastair J. Litterick, David I. Stewart, Adam R. Thomas
This survey article has two components. The first part gives a gentle introduction to Serre's notion of -complete reducibility, where is a connected reductive algebraic grou…
On the exponent of geometric unipotent radicals of pseudo-reductive groups
Falk Bannuscher, Maike Gruchot, David I. Stewart
Let be a finite purely inseparable field extension and let be a reductive -group. We denote by the Weil restriction of across , a pseud…
Representatives for unipotent classes and nilpotent orbits
Mikko Korhonen, David I. Stewart, Adam R. Thomas
Let be a simple algebraic group over an algebraically closed field of characteristic . The classification of the conjugacy classes of unipotent elements of and ni…
A New Maximal Subgroup of in Characteristic
David A. Craven, David I. Stewart, Adam R. Thomas
We prove the existence and uniqueness of a new maximal subgroup of the algebraic group of type in characteristic . This has type , and was missing from previous lists…
Smoothness of stabilisers in generic characteristic
Benjamin Martin, David I. Stewart, Lewis Topley
Let be a commutative unital ring. Given a finitely presented affine -group scheme acting on a separated scheme of finite type over , we show that there is a prime…
On unipotent radicals of pseudo-reductive groups
Michael Bate, Benjamin Martin, Gerhard Roehrle +1
We establish some results on the structure of the geometric unipotent radicals of pseudo-reductive k-groups. In particular, our main theorem gives bounds on the nilpotency class of…