Geodesic
Constructing a~maximal Cofinitary group
Lobachevskii journal of mathematics, Tome 12 (2003), pp. 73-81.

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Assuming continuum hypothesis (CH), we construct a maximal cofinitary group step by step. We also outline a way of constructing maximal cofinitary group by assuming the negation of CH and Martin's Axiom (MA). 
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Y. Zhang. Constructing a~maximal Cofinitary group. Lobachevskii journal of mathematics, Tome 12 (2003), pp. 73-81. http://geodesic.mathdoc.fr/item/LJM_2003_12_a5/

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