Abstract
Acknowledgements Introduction Generalities Sporadic groups and the Tits group Alternating groups Exceptional Schur multipliers and exceptional isomorphisms Groups of Lie type: Induction from non-parabolic subgroups Groups of Lie type: Induction from parabolic subgroups Groups of Lie type: ${\rm char}(K) = 0$ Classical groups: ${\rm char}(K) = 0$ Exceptional groups Bibliography
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