κ-Fold transitive groups

Daniel Herden*, Saharon Shelah

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)627-640
Number of pages14
JournalForum Mathematicum
Volume22
Issue number4
DOIs
StatePublished - Jul 2010

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