Geodesic
Products of derangements in simple permutation groups
Forum of Mathematics, Sigma, Tome 10 (2022)

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We prove that any element in a sufficiently large transitive finite simple permutation group is a product of two derangements. 
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Michael Larsen; Aner Shalev; Pham Huu Tiep. Products of derangements in simple permutation groups. Forum of Mathematics, Sigma, Tome 10 (2022). doi: 10.1017/fms.2022.69

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