Adjoining Cofinitary Permutations

Journal of Symbolic Logic 64 (4):1803-1810 (1999)
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Abstract

We show that it is consistent with ZFC + $\neg$CH that there is a maximal cofinitary group G $\leq$ Sym such that G is a proper subset of an almost disjoint family A $\subseteq$ Sym and |G| < |A|. We also ask several questions in this area.

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Yi Zhang
Humboldt-University, Berlin

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