5 citations · 6 across the 5 of their papers we have counts for
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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…
Base sizes for finite linear groups with solvable stabilisers
Anton A. Baykalov
Let be a transitive permutation group on a finite set with solvable point stabiliser and assume that the solvable radical of is trivial. In 2010, Vdovin conjectured that th…
On algebraic normalisers of maximal tori in simple groups of Lie type
Anton A. Baykalov
Let be a finite simple group of Lie type and let be a maximal torus of . It is well known that if the defining field of is large enough, then the normaliser of i…
Rank three innately transitive permutation groups and related -transitive groups
Anton A. Baykalov, Alice Devillers, Cheryl E. Praeger
The sets of primitive, quasiprimitive, and innately transitive permutation groups may each be regarded as the building blocks of finite transitive permutation groups, and are analo…
Intersection of Solvable Hall subgroups in finite groups
Anton A. Baykalov, Evgeny P. Vdovin, Victor I. Zenkov
In this paper we show that if S is a simple classical group, a group G is contained in inner-diagonal automorphisms of S and contains S, and H is a solvable Hall subgroup of G, the…
Intersection of conjugate solvable subgroups in finite classical groups
Anton A. Baykalov
We consider the following problem stated by Vdovin (2010) in the "Kourovka notebook" (Problem 17.41): Let be a solvable subgroup of a finite group that has no nontrivial so…