Adam R. Thomas

activity

20162021

collaborators

4 papers

math.GR2021

A New Maximal Subgroup of $E_{8}$ in Characteristic $3$

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 $E_{8}$ in characteristic $3$ . This has type $F_{4}$ , and was missing from previous lists…

math.GR2020

A note on extremely primitive affine groups

Timothy C. Burness, Adam R. Thomas

Let $G$ be a finite primitive permutation group on a set $Ω$ with nontrivial point stabilizer $G_{α}$ . We say that $G$ is extremely primitive if $G_{α}$ acts primitively on each of its…

math.GR2020

The classification of extremely primitive groups

Timothy C. Burness, Adam R. Thomas

Let $G$ be a finite primitive permutation group on a set $Ω$ with nontrivial point stabilizer $G_{α}$ . We say that $G$ is extremely primitive if $G_{α}$ acts primitively on each of its…

math.GR2016

Finite subgroups of simple algebraic groups with irreducible centralizers

Martin W. Liebeck, Adam R. Thomas

We determine all finite subgroups of simple algebraic groups that have irreducible centralizers - that is, centralizers whose connected component does not lie in a parabolic subgro…

A New Maximal Subgroup of E8​ in Characteristic 3

A note on extremely primitive affine groups

The classification of extremely primitive groups

Finite subgroups of simple algebraic groups with irreducible centralizers

A New Maximal Subgroup of $E_{8}$ in Characteristic $3$