Damian Sercombe

collaborators

Showing math.GRShow all

3 papers · 1 filter

math.GR2026

Maximal subgroups of maximal rank in the classical algebraic groups

Vanthana Ganeshalingam, Damian Sercombe, Laura Voggesberger

Let $k$ be an arbitrary field. We classify the maximal reductive subgroups of maximal rank in any classical simple algebraic $k$ -group in terms of combinatorial data associated to…

math.GR2026

Unipotent normal subgroups of algebraic groups

Damian Sercombe

Let $G$ be an affine algebraic group scheme over a field $k$ . We show there exists a unipotent normal subgroup of $G$ which contains all other such subgroups; we call it the restri…

math.GR2024

The subgroup structure of pseudo-reductive groups

Michael Bate, Ben Martin, Gerhard RÃ¶hrle +1

Let $k$ be a field. We investigate the relationship between subgroups of a pseudo-reductive $k$ -group $G$ and its maximal reductive quotient $G^{'}$ , with applications to the subgroup…