Finite simple groups of low rank: Hurwitz generation and (2,3)-generation

Marco Pellegrini, Maria Tamburini
2015 International Journal of Group Theory  
‎Let us consider the set of non-abelian finite simple groups which‎ ‎admit non-trivial irreducible projective representations of degree ≤7 over‎ ‎an algebraically closed field F of characteristic p≥0 ‎. ‎We survey some recent results which‎ ‎lead to the complete list of the groups in this set which are‎ ‎(2,3,7) -generated and of those which are (2,3) -generated‎.
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