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Forum Mathematicum

Managing Editor: Bruinier, Jan Hendrik

Ed. by Cohen, Frederick R. / Droste, Manfred / Darmon, Henri / Duzaar, Frank / Echterhoff, Siegfried / Gordina, Maria / Neeb, Karl-Hermann / Shahidi, Freydoon / Sogge, Christopher D. / Takayama, Shigeharu / Wienhard, Anna

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Ahead of print


QE-transitive abelian groups

Manfred Dugas
Published Online: 2014-01-10 | DOI: https://doi.org/10.1515/forum-2013-0111


This article has been retracted due to honest error by the author. For further information, please see http://dx.doi.org/10.1515/forum-2014-0063.

Let G be a torsion-free abelian group and n be a (finite) cardinal. The group G is called n-QE-transitive if for any pure subgroups X,Y of rank n of G, there exists some endomorphism ϕ of G such that ϕ(X)Y and Y/ϕ(X) is a torsion abelian group. We investigate these groups and obtain results similar to the ones for E-transitive groups.

Keywords: QE-transitive torsion-free abelian groups; Q-separable groups

MSC: 20K20; 20K30

About the article

Received: 2013-06-25

Revised: 2013-11-15

Published Online: 2014-01-10

Citation Information: Forum Mathematicum, ISSN (Online) 1435-5337, ISSN (Print) 0933-7741, DOI: https://doi.org/10.1515/forum-2013-0111.

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© 2014 by Walter de Gruyter Berlin/Boston.Get Permission

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