In this paper we prove that the unitary groups SUn(q2) are (2,3)-generated for any prime power q and any integer n≥8. By previous results this implies that, if n≥3, the groups SUn(q2) and PSUn(q2) are (2,3)-generated, except when (n,q)∈(3,2),(3,3),(3,5),(4,2),(4,3),(5,2).
Pellegrini, M. A., Tamburini Bellani, M. C., The (2,3)-generation of the finite unitary groups, <<JOURNAL OF ALGEBRA>>, 2020; 549 (N/A): 319-345. [doi:10.1016/j.jalgebra.2020.01.001] [http://hdl.handle.net/10807/150157]
The (2,3)-generation of the finite unitary groups
Pellegrini, M. A.
Primo
;Tamburini Bellani, M. C.Ultimo
2020
Abstract
In this paper we prove that the unitary groups SUn(q2) are (2,3)-generated for any prime power q and any integer n≥8. By previous results this implies that, if n≥3, the groups SUn(q2) and PSUn(q2) are (2,3)-generated, except when (n,q)∈(3,2),(3,3),(3,5),(4,2),(4,3),(5,2).
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