TY - JOUR
T1 - The (2,3)-generation of the finite unitary groups
AU - Pellegrini, Marco Antonio
AU - Tamburini, Bellani M. C.
PY - 2020
Y1 - 2020
N2 - 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).
AB - 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).
KW - Generation
KW - Simple group
KW - Unitary group
KW - Generation
KW - Simple group
KW - Unitary group
UR - https://publicatt.unicatt.it/handle/10807/150157
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85077757128&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85077757128&origin=inward
U2 - 10.1016/j.jalgebra.2020.01.001
DO - 10.1016/j.jalgebra.2020.01.001
M3 - Article
SN - 0021-8693
VL - 549
SP - 319
EP - 345
JO - Journal of Algebra
JF - Journal of Algebra
IS - N/A
ER -