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On the (2,3)-generation of the finite symplectic groups

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 نشر من قبل Marco Antonio Pellegrini
 تاريخ النشر 2020
  مجال البحث
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This paper is a new important step towards the complete classification of the finite simple groups which are $(2, 3)$-generated. In fact, we prove that the symplectic groups $Sp_{2n}(q)$ are $(2,3)$-generated for all $ngeq 4$. Because of the existing literature, this result implies that the groups $PSp_{2n}(q)$ are $(2,3)$-generated for all $ngeq 2$, with the exception of $PSp_4(2^f)$ and $PSp_4(3^f)$.



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