Zhang, Yi2021-06-172021-06-172000-10-010021-8693https://hdl.handle.net/11411/3817https://doi.org/10.1006/jabr.2000.8396We prove that every maximal cofinitary group has size at least the cardinality of the smallest non-meager set of reals. We also provide a consistency result saying that the spectrum of possible cardinalities of maximal cofinitary groups may be quite arbitrary. © 2000 Academic Press.eninfo:eu-repo/semantics/openAccessArticle2-s2.0-003428807810.1006/jabr.2000.8396Q1WOS:000089622800012