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Proceedings of the American Mathematical Society

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On the linearity of torsion-free nilpotent groups of finite Morley rank


Authors: Tuna Altinel and John S. Wilson
Journal: Proc. Amer. Math. Soc. 137 (2009), 1813-1821
MSC (2000): Primary 03C60, 20F16
Published electronically: December 15, 2008
MathSciNet review: 2470842
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Abstract: It is proved that every torsion-free nilpotent group of finite Morley rank is isomorphic to a matrix group over a field of characteristic zero.


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Additional Information

Tuna Altinel
Affiliation: Université de Lyon, Université Lyon 1, CNRS UMR 5208 Institut Camille Jordan, INSA de Lyon, F-69621, Ecole Centrale de Lyon, 43 blvd du 11 novembre 1918, 69622 Villeurbanne cedex, France
Email: altinel@math.univ-lyon1.fr

John S. Wilson
Affiliation: University College, Oxford OX1 4BH, United Kingdom
Email: wilsonjs@maths.ox.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9939-08-09695-0
Received by editor(s): March 3, 2008
Received by editor(s) in revised form: July 9, 2008
Published electronically: December 15, 2008
Additional Notes: The first author was supported by MODNET, an FP6 Marie Curie Research Training Network in Model Theory and its Applications, funded by the European Commission under contract number MRTN-CT-2004-512234 (MODNET)
Communicated by: Julia Knight
Article copyright: © Copyright 2008 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.