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).
Inglese
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/150157
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