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تسجيل مستخدم جديدThe $(2,3)$-generation of the finite unitary groups
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In this paper we prove that the unitary groups $SU_n(q^2)$ are $(2,3)$-generated for any prime power $q$ and any integer $ngeq 8$. By previous results this implies that, if $ngeq 3$, the groups $SU_n(q^2)$ and $PSU_n(q^2)$ are $(2,3)$-generated, except when $(n,q)in{(3,2),(3,3),(3,5),(4,2), (4,3),(5,2)}$.
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