Cherlin's conjecture for almost simple groups of Lie rank 1

Abstract

We prove Cherlin's conjecture, concerning binary primitive permutation groups, for those groups with socle isomorphic to ${\mathrm{PSL}}_2(q)$, ${}^2{\mathrm{B}}_2(q)$, ${}^2{\mathrm{G}}_2(q)$ or ${\mathrm{PSU}}_3(q)$. Our method uses the notion of a "strongly non-binary action".

14 pages

References in corpus (1)

• A reduction theorem for primitive binary permutation groups