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Licensed Unlicensed Requires Authentication Published by De Gruyter February 8, 2010

κ-fold transitive groups

Daniel Herden and Saharon Shelah
From the journal


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, yG there exist exactly κ-many φ ∈ Aut G such that = y. We show the existence of large κ-fold transitive groups for every κ ≥ ℵ0 assuming V=L and ZFC respectively.

Received: 2008-03-01
Accepted: 2008-09-04
Published Online: 2010-02-08
Published in Print: 2010-July

© de Gruyter 2010

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