  In this paper we define higher pre-Bloch groups p_n(F) of a field F. When our
base field is algebraically closed we study its connection to the homology of
the general linear groups with finite coefficient Z/l where l is a positive
integer. As a result of our investigation we give a necessary and sufficient
condition for the map H_n(GL_{n-1}(F), Z/l) --> H_n(GL_{n}(F), Z/l)$ to be
bijective. We prove that this map is bijective for n < 5. We also demonstrate
that the divisibility of p_n(C) is equivalent to the validity of the
Friedlander-Milnor Isomorphism Conjecture for (n+1)-th homology of GL_n(C).
