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

Document Type: Ischia Group Theory 2014

Authors

Universita Cattolica del Sacro Cuore

Abstract

‎Let us consider the set of non-abelian finite simple groups which‎ ‎admit non-trivial irreducible projective representations of degree $\le 7$ over‎ ‎an algebraically closed field $F$ of characteristic $p\geq 0$‎. ‎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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