finite simple groups of low rank‎: ‎hurwitz generation and $(2,3)$-generation

نویسندگان

marco pellegrini

universita cattolica del sacro cuore maria tamburini

universita cattolica del sacro cuore

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 $pgeq 0$‎. ‎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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finite simple groups of low rank: hurwitz generation and (2,3)-generation

‎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 $mathbb{f}$ of characteristic $pgeq 0$‎. ‎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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عنوان ژورنال:
international journal of group theory

جلد ۴، شماره ۳، صفحات ۱۳-۱۹

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