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Öğe Adjoining cofinitary permutations(Association for Symbolic Logic, 1999) Zhang, Y.We show that it is consistent with ZFC + ¬CH that there is a maximal cofinitary group (or, maximal almost disjoint group) G ? Sym(?) such that G is a proper subset of an almost disjoint family A ? Sym(?) and |G| < |A|. We also ask several questions in this area.Öğe Cofinitary groups, almost disjoint and dominating families(Association for Symbolic Logic, 2001) Hrušák, M.; Steprans, J.; Zhang, Y.In this paper we show that it is consistent with ZFC that the cardinality of every maximal cofinitary group of Sym(?) is strictly greater than the cardinal numbers d and a.