Realization of 2-solvable nilpotent groups as groups of classes of homotopy self-equivalences |
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Authors: | Julien Federinov Yves Felix |
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Affiliation: | Département de Mathématiques, Université catholique de Louvain, 2, chemin du cyclotron, 1348 Louvain-La-Neuve, Belgium |
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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. |
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Keywords: | 55P10 55P62 |
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