Primitive permutation groups as products of point stabilizers

Attila Mar\'oti; Dan Levy; Iulian I. Simion; Martino Garonzi

arxiv: 1508.05659 · v1 · pith:L27SEOBGnew · submitted 2015-08-23 · 🧮 math.GR

Primitive permutation groups as products of point stabilizers

Martino Garonzi , Dan Levy , Attila Mar\'oti , Iulian I. Simion This is my paper

classification 🧮 math.GR

keywords pointpermutationprimitivestabilizersconstantdegreeexistsfinite

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We prove that there exists a universal constant $c$ such that any finite primitive permutation group of degree $n$ with a non-trivial point stabilizer is a product of no more than $c\log n$ point stabilizers.

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Primitive permutation groups as products of point stabilizers

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