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Journal of the London Mathematical Society 2001 64(3):576-594; doi:10.1112/S0024610701002721
© 2001 by London Mathematical Society
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© The London Mathematical Society

Special Linear Groups Generated by Transvections and Embedded Projective Spaces

Hans Cuypers and Anja Steinbach

Department of Mathematics, Eindhoven University of Technology PO Box 513, 5600 MB Eindhoven, Netherlands; hansc{at}win.tue.nl
Mathematisches Institut, Justus-Liebig-Universität Gießen Arndtstraße 2, D 35392 Gießen, Germany, anja.steinbach{at}math.uni-giessen.de

Received 7 April 2000. Revision received 14 March 2001.

A characterization is given of the ‘special linear groups’ T({Psi}, W) as linear groups generated by a non-degenerate class {Sigma} of abstract root groups such that the elements of A isin {Sigma} are transvections.


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