Abstract

ADAN-BANTE, EDITH  and  HARRIS, JOHN M.. On Conjugacy Classes of \\SL(2,q). Rev.colomb.mat. [online]. 2012, vol.46, n.2, pp.97-111. ISSN 0034-7426.

Let \SL(2,q) be the group of 2\times 2 matrices with determinant one over a finite field F of size q. We prove that if q is even, then the product of any two noncentral conjugacy classes of \SL(2,q) is the union of at least q-1 distinct conjugacy classes of \SL(2,q). On the other hand, if q>3 is odd, then the product of any two noncentral conjugacy classes of \SL(2,q) is the union of at least \fracq+32 distinct conjugacy classes of \SL(2,q).

Keywords : Conjugacy classes; Matrices over a finite field; Products of conjugacy classes; Special linear group.

        · abstract in Spanish     · text in English     · English ( pdf )