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Finitely axiomatizable strongly minimal groups

Published online by Cambridge University Press:  12 March 2014

Thomas Blossier  and
Elisabeth Bouscaren
Thomas Blossier
Affiliation:
Université Lyon 1, Institut Camille Jordan Umr 5208 CNRS, 43 Boulevard du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France, E-mail: blossier@math.univ-lyon1.fr
Elisabeth Bouscaren
Affiliation:
CNRS, Univ. Paris-Sud 11, Département de Mathématiques d' Orsay, Orsay Cedex, F-91405, France, E-mail: elisabeth.bouscaren@math.u-psud.fr
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Abstract

We show that if G is a strongly minimal finitely axiomatizable group, the division ring of quasi-endomorphisms of G must be an infinite finitely presented ring.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 75 , Issue 1 , March 2010 , pp. 25 - 50
Copyright
Copyright © Association for Symbolic Logic 2012

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