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Finite simple groups of low rank: Hurwitz generation and (2, 3)-generation | ||
| International Journal of Group Theory | ||
| مقاله 4، دوره 4، شماره 3، آذر 2015، صفحه 13-19 اصل مقاله (188.42 K) | ||
| نوع مقاله: Ischia Group Theory 2014 | ||
| شناسه دیجیتال (DOI): 10.22108/ijgt.2015.10630 | ||
| نویسندگان | ||
| Marco Pellegrini؛ 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 $p\geq 0$. 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. | ||
| کلیدواژهها | ||
| Finite simple groups؛ $(2؛ 3)$-generation؛ Hurwitz generation | ||
| مراجع | ||
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