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Generation of exceptional groups of Lie-type

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Abstract

In this paper we prove two theorems concerning the generation of a finite exceptional group of Lie-type G F. The first is: there is a semisimple element s such that for ‘nearly all’ elements x ∈ G Fthe elements s and x generate the group G F. The second theorem we prove is: if G is a finite simple exceptional group of Lie-type not of type E 6 or 2 E 6, then it is generated by three involutions.

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Authors and Affiliations

  1. Mathematisches Institut der Universität Freiburg, Albertstrasse 23b, D-7800, Freiburg im Br., Germany

    Thomas S. Weigel

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  1. Thomas S. Weigel
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The author gratefully acknowledges financial support by the Deutsche Forschungs-gemeinschaft.

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Weigel, T.S. Generation of exceptional groups of Lie-type. Geom Dedicata 41, 63–87 (1992). https://doi.org/10.1007/BF00181543

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