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Öğe Maximal cofinitary groups(Springer Verlag, 2000) Zhang, YWe discuss the cardinalities of maximal cofinitary groups under the assumption of CH. We also discuss various open questions in this area.Öğe Permutation groups and covering properties(London Math Soc, 2001) Zhang, YThe paper considers the possible cardinalities of maximal cofinitary groups and the cofinalities of permutation groups on the set of natural numbers. These two cardinals are compared with some other well-known cardinal invariants which are related to covering properties in several forcing models. An application of combinatorial group theory to a construction of a forcing partially ordered set is presented.