Let Z be the ring of integers and let K(Z,2n) denote the Eilenberg-MacLane
space of type (Z,2n) for n ? 1. In this article, we prove that the graded
group Am := Aut(??2mn+1(?K(Z,2n))=torsions) of automorphisms of the graded
quasi-Lie algebras ?? 2mn+1(?K(Z,2n)) modulo torsions that preserve the
Whitehead products is a finite group for m ? 2 and an infinite group for m ?
3, and that the group Aut(?*(K(Z,2n))=torsions) is non-abelian. We extend
and apply those results to techniques in localization (or rationalization)
theory.