| Article ID | Journal | Published Year | Pages | File Type | 
|---|---|---|---|---|
| 4662845 | Annals of Pure and Applied Logic | 2006 | 8 Pages | 
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:ag≔ the least cardinal number of maximal cofinitary permutation groups;ap≔ 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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