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

نویسندگان

1 Universita Cattolica del Sacro Cuore

2 Universita Cattolica del Sacro Cuore

doi
10.22108/ijgt.2015.10630
چکیده

‎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.