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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the linearity of torsion-free nilpotent groups of finite Morley rank
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by Tuna Altinel and John S. Wilson PDF
Proc. Amer. Math. Soc. 137 (2009), 1813-1821 Request permission


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
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  • John S. Wilson
  • Affiliation: University College, Oxford OX1 4BH, United Kingdom
  • Email:
  • 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
  • © Copyright 2008 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 137 (2009), 1813-1821
  • MSC (2000): Primary 03C60, 20F16
  • DOI:
  • MathSciNet review: 2470842