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

Saveliy V. Skresanov

Type: Article

Publication Date: 2024-10-16

Citations: 0

DOI: https://doi.org/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.

Locations

arXiv (Cornell University) - View - PDF
Communications in Algebra - View

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+	Sum-Product Estimates Applied to Waring's Problem over Finite Fields	2011	Todd Cochrane James Arthur Cipra
+ PDF Chat	Intersection matrices for finite permutation groups	1967	D. G. Higman
+ PDF Chat	Primitive permutation groups of bounded orbital diameter	2009	Martin W. Liebeck Dugald Macpherson Katrin Tent
+ PDF Chat	Orbital diameters of the symmetric and alternating groups	2016	Atiqa Sheikh
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+	Some remarks on estimates of trigonometric sums	1963	Ju. Linnik
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+	On the orders of composition factors in completely reducible groups	2024	Attila Maróti Saveliy V. Skresanov