Abstract
An abelian group G of type 0 is called κ-fold transitive for some cardinal κ > 0 if for any pair of pure elements x, y ∈ G there exist exactly κ-many ∈ Aut G such that x y. We show the existence of large κ-fold transitive groups for every κ ≥ א0 assuming VL and ZFC respectively.
Original language | English |
---|---|
Pages (from-to) | 627-640 |
Number of pages | 14 |
Journal | Forum Mathematicum |
Volume | 22 |
Issue number | 4 |
DOIs | |
State | Published - Jul 2010 |