TY - JOUR
T1 - Uniform (2,k)-generation of the 4-dimensional classical groups
AU - Tamburini Bellani, Maria Clara
AU - Vsemirnov, Maxim
AU - Pellegrini, Marco Antonio
PY - 2012
Y1 - 2012
N2 - In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order of any arbitrary element of SL(2,q), subject to the necessary condition k>2. When q is even we allow also k=4.
AB - In this paper we study the (2,k)-generation of the finite classical groups SL(4,q), Sp(4,q), SU(4,q^2) and their projective images. Here k is the order of any arbitrary element of SL(2,q), subject to the necessary condition k>2. When q is even we allow also k=4.
KW - Generation of classical groups
KW - Generation of classical groups
UR - https://publicatt.unicatt.it/handle/10807/27932
UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=84864486956&origin=inward
UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84864486956&origin=inward
U2 - 10.1016/j.jalgebra.2012.06.027
DO - 10.1016/j.jalgebra.2012.06.027
M3 - Article
SN - 0021-8693
SP - 322
EP - 350
JO - Journal of Algebra
JF - Journal of Algebra
IS - 369
ER -