Abstract.
Let G be a permutation group on a finite set \(\Omega \). If G does not involve A n for \(n \geqq 5 \), then there exist two disjoint subsets of \(\Omega \) such that no Sylow subgroup of G stabilizes both and four disjoint subsets of \(\Omega \) whose stabilizers in G intersect trivially.
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Received: 21.6.1999
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Dolfi, S. Orbits of permutation groups on the power set. Arch. Math. 75, 321–327 (2000). https://doi.org/10.1007/s000130050510
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DOI: https://doi.org/10.1007/s000130050510