5 citations · 6 across the 8 of their papers we have counts for
9 papers
The -generation of the finite simple odd-dimensional orthogonal groups
M. A. Pellegrini, M. C. Tamburini Bellani
The complete classification of the finite simple groups that are -generated is a problem which is still open only for orthogonal groups. Here, we construct -generato…
On the (2,3)-generation of the finite symplectic groups
M. A. Pellegrini, M. C. Tamburini Bellani
This paper is a new important step towards the complete classification of the finite simple groups which are -generated. In fact, we prove that the symplectic groups $Sp_{2…
The -generation of the finite unitary groups
M. A. Pellegrini, M. C. Tamburini Bellani
In this paper we prove that the unitary groups are -generated for any prime power and any integer . By previous results this implies that, if $n\geq…
Regular subgroups of the affine group with no translations
M. A. Pellegrini, M. C. Tamburini Bellani
Given a regular subgroup R of AGL_n(F), one can ask if R contains nontrivial translations. A negative answer to this question was given by Liebeck, Praeger and Saxl for AGL_2(p) (p…
More on regular subgroups of the affine group
M. A. Pellegrini, M. C. Tamburini Bellani
This paper is a new contribution to the study of regular subgroups of the affine group , for any field . In particular we associate to any partition …
Scott's formula and Hurwitz groups
M. A. Pellegrini, M. C. Tamburini Bellani
This paper continues previous work, based on systematic use of a formula of L. Scott, to detect Hurwitz groups. It closes the problem of determining the finite simple groups contai…
The (2,3)-generation of the special unitary groups of dimension 6
M. A. Pellegrini, M. Prandelli, M. C. Tamburini Bellani
In this paper we give explicit (2,3)-generators of the unitary groups SU_6(q^ 2), for all q. They fit into a uniform sequence of likely (2,3)-generators for all n>= 6.
The simple classical groups of dimension less than 6 which are (2,3)-generated
M. A. Pellegrini, M. C. Tamburini Bellani
In this paper we determine the classical simple groups of dimension r=3,5 which are (2,3)-generated (the cases r = 2, 4 are known). If r = 3, they are PSL_3(q), q <> 4, and PSU_3(q…
Uniform (2,k)-generation of the 4-dimensional classical groups
M. A. Pellegrini, M. C. Tamburini Bellani, M. A. Vsemirnov
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 an arbitrary element of S…