Cardinal invariants related to permutation groups

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Annals of Pure and Applied Logic 143 (1-3):139-146 (2006)
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Abstract

We consider the possible cardinalities of the following three cardinal invariants which are related to the permutation group on the set of natural numbers: the least cardinal number of maximal cofinitary permutation groups; the least cardinal number of maximal almost disjoint permutation families; the cofinality of the permutation group on the set of natural numbers.We show that it is consistent with that ; in fact we show that in the Miller model

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10.1016/j.apal.2005.08.002

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Yi Zhang
Humboldt-University, Berlin

Citations of this work

Tight Eventually Different Families.Vera Fischer & Corey Bacal Switzer - 2024 - Journal of Symbolic Logic 89 (2):697-723.
Isomorphism types of maximal cofinitary groups.Bart Kastermans - 2009 - Bulletin of Symbolic Logic 15 (3):300-319.
Tight cofinitary groups.Vera Fischer, L. Schembecker & David Schrittesser - 2025 - Annals of Pure and Applied Logic 176 (6):103570.

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References found in this work

Maximal cofinitary groups.Yi Zhang - 2000 - Archive for Mathematical Logic 39 (1):41-52.
On a Class of M.A.D. Families.Yi Zhang - 1999 - Journal of Symbolic Logic 64 (2):737-746.
Adjoining cofinitary permutations.Yi Zhang - 1999 - Journal of Symbolic Logic 64 (4):1803-1810.

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