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

Abstract

‎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.

Keywords

• Finite simple groups
• $(2; 3)$-generation
• Hurwitz generation