  Preface (A.Vershik) - about these texts (3.);
  I.Interpolation between inductive and projective limits of finite groups with
applicatons to linear groups over finite fields;
  II.The characters of the groups of almost triangle matrices over finite
filed;
  III.A Law of Large Numbers for the characters of GL_n(k) over finite field k;
  IV.An outline of construction of factor representations of the group
GLB(F_q).
