On a polynomial bound for the orbital diameter of primitive affine groups

2024/10/16 by Saveliy V. Skresanov · 1 citation
Mathematics · #Finite Group Theory Research #Advanced Algebra and Geometry #Geometric and Algebraic Topology

paper · doi:10.1080/00927872.2024.2412163

Abstract

Let VG be a finite primitive affine permutation group, where V is a vector space of dimension d over the prime field Fp and G is an irreducible linear group on V. We prove that if p divides |G|, then the diameters of all nondiagonal orbital graphs of VG are at most 9d3. This improves an earlier exponential bound by A. Maróti and the author.

Citations

• Primitive permutation groups of bounded orbital diameter

Cited by

• On the Orbital Diameter of Primitive Affine Groups
• On the orbital diameter of classical groups in standard actions

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