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SPECIAL LINEAR GROUPS GENERATED BY TRANSVECTIONS AND EMBEDDED PROJECTIVE SPACES

Published online by Cambridge University Press:  30 January 2002

HANS CUYPERS  and
ANJA STEINBACH
HANS CUYPERS
Affiliation:
Department of Mathematics, Eindhoven University of Technology, PO Box 513, 5600 MB Eindhoven, Netherlands; hansc@win.tue.nl
ANJA STEINBACH
Affiliation:
Mathematisches Institut, Justus-Liebig-Universität Gießen, Arndtstraße 2, D 35392 Gießen, Germany; anja.steinbach@math.uni-giessen.de
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Abstract

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

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 64 , Issue 3 , December 2001 , pp. 576 - 594
Copyright
London Mathematical Society 2001

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