Damian Sercombe

activity

20152024

most citedRandom generation of associative algebras

1 citations · 2 across the 8 of their papers we have counts for

collaborators

Showing 2024Show all

3 papers · 1 filter

math.GR2024

The subgroup structure of pseudo-reductive groups

Michael Bate, Ben Martin, Gerhard Röhrle +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…

math.GR2024

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.GR2024

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…