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Almost disjoint permutation groups
Authors:Fred Galvin
Affiliation:Department of Mathematics, University of Kansas, Lawrence, Kansas 66045-2142
Abstract:A permutation group $G$ on a set $E$ of (infinite) cardinality $kappa $ is almost disjoint if no element of $G$ except the identity has $kappa $ fixed points, i.e., if $G$ is an almost disjoint family of subsets of $Etimes E$. We show how almost disjoint permutation groups can be constructed from almost disjoint families of sets.

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