This paper is a new important step towards the complete classification of the finite simple groups which are (2,3)-generated. In fact, we prove that the symplectic groups Sp_2n(q) are (2,3)-generated for all n≥4. Because of the existing literature, this result implies that the groups PSp_2n(q) are (2,3)-generated for all n≥2, with the exception of PSp_4(2^f) and PSp_4(3^f).
Pellegrini, M. A., Tamburini Bellani, M. C., On the (2,3)-generation of the finite symplectic groups, <<JOURNAL OF ALGEBRA>>, 2022; (598): 156-193. [doi:10.1016/j.jalgebra.2022.01.028] [http://hdl.handle.net/10807/195601]
On the (2,3)-generation of the finite symplectic groups
Pellegrini, Marco Antonio
Primo
;Tamburini Bellani, Maria ClaraUltimo
2022
Abstract
This paper is a new important step towards the complete classification of the finite simple groups which are (2,3)-generated. In fact, we prove that the symplectic groups Sp_2n(q) are (2,3)-generated for all n≥4. Because of the existing literature, this result implies that the groups PSp_2n(q) are (2,3)-generated for all n≥2, with the exception of PSp_4(2^f) and PSp_4(3^f).
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.
