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APAL
2006

Cardinal invariants related to permutation groups

9 years 3 months ago
Cardinal invariants related to permutation groups
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; c(Sym(N)) := the cofinality of the permutation group on the set of natural numbers. We show that it is consistent with ZFC that ap = ag < c(Sym(N)) = 2; in fact we show that in the Miller model ap = ag = 1 < 2 = c(Sym(N)).
Bart Kastermans, Yi Zhang 0008
Added 10 Dec 2010
Updated 10 Dec 2010
Type Journal
Year 2006
Where APAL
Authors Bart Kastermans, Yi Zhang 0008
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