Generation of exceptional groups of Lie-type
- Cite this article as:
- Weigel, T.S. Geom Dedicata (1992) 41: 63. doi:10.1007/BF00181543
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In this paper we prove two theorems concerning the generation of a finite exceptional group of Lie-type GF. The first is: there is a semisimple element s such that for ‘nearly all’ elements x ∈ GFthe elements s and x generate the group GF. The second theorem we prove is: if G is a finite simple exceptional group of Lie-type not of type E6 or 2E6, then it is generated by three involutions.