Abstract
Let X be a 1-connected CW-complex of finite type and ε ♯ ( X ) be the group of homotopy classes of self-equivalences of X which induce the identity on homotopy groups. In this paper, we prove that every finitely generated 2-solvable rational nilpotent group is realizable as ε ♯ ( X ) where X is the rationalization of a 1-connected CW-complex of finite type.
Published Version
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