Anton A. Baykalov

collaborators

3 papers

math.GR2025

Proper partial linear spaces affording imprimitive rank 3 automorphism groups

Anton A. Baykalov, Alice Devillers, Cheryl E. Praeger

A partial linear space is a point--line incidence structure such that each line is incident with at least two points and each pair of points is incident with at most one line. It i…

math.GR2025

Base sizes for finite linear groups with solvable stabilisers

Anton A. Baykalov

Let $G$ be a transitive permutation group on a finite set with solvable point stabiliser and assume that the solvable radical of $G$ is trivial. In 2010, Vdovin conjectured that th…

math.GR2024

On algebraic normalisers of maximal tori in simple groups of Lie type

Anton A. Baykalov

Let $G$ be a finite simple group of Lie type and let $T$ be a maximal torus of $G$ . It is well known that if the defining field of $G$ is large enough, then the normaliser of $T$ i…