The $(2,3)$-generation of the finite unitary groups

M. A. Pellegrini; M. C. Tamburini Bellani

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arXiv · 1807.09270

The $(2,3)$-generation of the finite unitary groups

M. A. Pellegrini·M. C. Tamburini Bellani

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Abstract

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 $n\geq 8$. By previous results this implies that, if $n\geq 3$, 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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BibTeX RIS

M. A. Pellegrini, M. C. Tamburini Bellani. 2018-07-24. The $(2,3)$-generation of the finite unitary groups. https://arxiv.org/abs/1807.09270

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