Abstract: In a paper published in 2003, B. K\"ulshammer, J. B. Olsson
and G. R. Robinson have generalized Brauer's notion of blocks of
irreducible characters of a finite group, and studied the case of the
symmetric group.
In this talk, we give a construction of blocks of unipotent characters
in the finite general linear group, and study an analogue of the
Nakayama Conjecture.