Maike Gruchot

activity

20182021

collaborators

4 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: Variations on a theme of Serre

Maike Gruchot, Alastair Litterick, Gerhard Roehrle

In this note, we unify and extend various concepts in the area of $G$ -complete reducibility, where $G$ is a reductive algebraic group. By results of Serre and Bate--Martin--Röhrle,…

math.GR2018

Relative complete reducibility and normalised subgroups

Maike Gruchot, Alastair Litterick, Gerhard Roehrle

We study a relative variant of Serre's notion of $G$ -complete reducibility for a reductive algebraic group $G$ . We let $K$ be a reductive subgroup of $G$ , and consider subgroups of…

math.GR2018

On relative complete reducibility

Christopher Attenborough, Michael Bate, Maike Gruchot +2

Let $K$ be a reductive subgroup of a reductive group $G$ over an algebraically closed field $k$ . The notion of relative complete reducibility, introduced in previous work of Bate-M…