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On the linearity of torsion-free nilpotent groups of finite Morley rank
Author(s):
Tuna
Altinel;
John
S.
Wilson
Journal:
Proc. Amer. Math. Soc.
137
(2009),
1813-1821.
MSC (2000):
Primary 03C60, 20F16
Posted:
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.
References:
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- 3.
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- 6.
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 -categorical theories of fields. Fund. Math. 71 (1971), 1-25. MR 0290954 (45:48) - 11.
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- 12.
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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:
10.1090/S0002-9939-08-09695-0
PII:
S 0002-9939(08)09695-0
Received by editor(s):
March 3, 2008,
Received by editor(s) in revised form:
July 9, 2008
Posted:
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 of article:
Copyright
2008,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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