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
Pellegrini, M. A., Tamburini Bellani, M. C., Finite simple groups of low rank: Hurwitz generation and (2,3)-generation, <<INTERNATIONAL JOURNAL OF GROUP THEORY>>, 2015; 4 (3): 13-19 [http://hdl.handle.net/10807/67762]
Finite simple groups of low rank: Hurwitz generation and (2,3)-generation
Pellegrini, Marco Antonio;Tamburini Bellani, Maria Clara
2015
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
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