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

Document Type : Ischia Group Theory 2014


Universita Cattolica del Sacro Cuore


‎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.


Main Subjects

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Volume 4, Issue 3 - Serial Number 3
Proceedings of the Ischia Group Theory 2014-Part III.
September 2015
Pages 13-19
  • Receive Date: 24 February 2015
  • Revise Date: 29 August 2015
  • Accept Date: 29 August 2015
  • Published Online: 01 September 2015