On the base size of a transitive group with solvable point stabilizer

Abstract

We prove that the base size of a transitive group $G$ with solvable point stabilizer and with trivial solvable radical is not greater than $k$ provided the same statement holds for the group of $G$-induced automorphisms of each nonabelian composition factor of $G$.

arXiv commentRevized variant, published in Journal of Algebra and Applications

Cited by in corpus (2)

• Intersection of conjugate solvable subgroups in symmetric groups
• Base sizes for primitive groups with soluble stabilisers