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, Marco Antonio
Primo
;Tamburini Bellani, Maria ClaraUltimo
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).
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
