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Generation of classical groups
Authors:Gunter Malle  Jan Saxl  Thomas Weigel
Affiliation:(1) Mathematisches Institut und IWR, Im Neuenheimer Feld 368, 69120 Heidelberg, Germany;(2) DPMMS, 16 Mill Lane, CB2 1SB Cambridge, England;(3) Mathematisches Institut, Albertstrasse 23b, 79104 Freiburg, Germany
Abstract:Each finite simple group other thanU3(3) can be generated by three of its involutions. In fact, each such group is generated by two elements, of which one is strongly real and the other is an involution.The authors thank the MSRI in Berkeley, where this work was begun in Fall 1990, for its hospitality. The first and third author gratefully acknowledge financial support by the Deutsche Forschungsgemeinschaft.
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