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]
Autori: | ||
Titolo: | The (2,3)-generation of the finite unitary groups | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jalgebra.2020.01.001 | |
Data di pubblicazione: | 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). | |
Lingua: | Inglese | |
Rivista: | ||
Citazione: | 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] | |
Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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