reserve G for Group,
  a,b for Element of G,
  m, n for Nat,
  p for Prime;

theorem Th25:
  for G being strict finite Group holds G is p-group &
  expon (G,p) = 1 implies G is cyclic
proof
  let G be strict finite Group;
  assume G is p-group & expon (G,p) = 1;
  then card G = p |^ 1 by Def2
             .= p;
  hence thesis by GR_CY_1:21;
end;
