Falk Bannuscher

collaborators

2 papers

math.GR2021

On the exponent of geometric unipotent radicals of pseudo-reductive groups

Falk Bannuscher, Maike Gruchot, David I. Stewart

Let $k^{'} / k$ be a finite purely inseparable field extension and let $G^{'}$ be a reductive $k^{'}$ -group. We denote by $G = R_{k^{'} / k} (G^{'})$ the Weil restriction of $G^{'}$ across $k^{'} / k$ , a pseud…

math.GR2020

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields IV: An $F_{4}$ example

Falk Bannuscher, Alastair Litterick, Tomohiro Uchiyama

Let $k$ be a nonperfect separably closed field. Let $G$ be a connected reductive algebraic group defined over $k$ . We study rationality problems for Serre's notion of complete redu…

On the exponent of geometric unipotent radicals of pseudo-reductive groups

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields IV: An F4​ example

Complete reducibility of subgroups of reductive algebraic groups over nonperfect fields IV: An $F_{4}$ example