Zhang, Y.2024-07-182024-07-1819990022-4812https://doi.org/10.2307/2586812https://hdl.handle.net/11411/6508We 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.eninfo:eu-repo/semantics/closedAccessArticle2-s2.0-003326844010.2307/258681218104Q1180364