No abstract

No abstract

No abstract

No abstract

Let Fq be a finite field of characteristic r and order q=ra, V=Fqn the vector space of finite dimension n⩾1 over Fq, and Mat (n, q) the matrix algebra on V. We denote by Hn(q) (or Hn if q is clear from the context) one of the following classical groups: Sp (n, q) (with n even), the symplectic group on V; O(n, q) (with q odd), one of the full orthogonal groups on V in odd characteristic; U(n, q) (with q a square), the full unitary group on V.