Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Linear representations of soluble groups of finite Morley rank


Authors: Tuna Altınel and John S. Wilson
Journal: Proc. Amer. Math. Soc. 139 (2011), 2957-2972
MSC (2010): Primary 03C60, 20F16
Published electronically: December 29, 2010
MathSciNet review: 2801636
Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: Sufficient conditions are given for groups of finite Morley rank having nontrivial torsion-free nilpotent normal subgroups to have linear representations with small kernels. In particular, centreless connected soluble groups of finite Morley rank with torsion-free Fitting subgroups have faithful linear representations. Along the way, using a notion of definable weight space, we prove that certain connected soluble groups of finite Morley rank with torsion-free derived subgroup can be embedded in groups of finite Morley rank whose Fitting subgroups have definable abelian supplements.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (2010): 03C60, 20F16

Retrieve articles in all journals with MSC (2010): 03C60, 20F16


Additional Information

Tuna Altınel
Affiliation: Institut Camille Jordan, Université Lyon 1, 43 boulevard 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/S0002-9939-2010-10713-X
PII: S 0002-9939(2010)10713-X
Received by editor(s): September 26, 2009
Received by editor(s) in revised form: July 20, 2010
Published electronically: December 29, 2010
Additional Notes: The first author was partially supported by the ANR project “Groupes, Géométrie et Logique” JC05 47037:jaligot:eric.
Both authors acknowledge the support of FAW
Communicated by: Julia Knight
Article copyright: © Copyright 2010 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.