Orbits of permutation groups on the power set |
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Authors: | S Dolfi |
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Institution: | 1.Dipartimento di Matematica “U.DINI”, Viale Morgagni 67/a, 50134 Firenze, Italy,IT |
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Abstract: | Let G be a permutation group on a finite set W\Omega . If G does not involve An for n \geqq 5 n \geqq 5 , then there exist two disjoint subsets of W\Omega such that no Sylow subgroup of G stabilizes both and four disjoint subsets of W\Omega whose stabilizers in G intersect trivially. |
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