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Nilpotency of self homotopy equivalences with coefficients

Maxence CuvilliezAniceto MurilloAntonio Viruel — 2011

Annales de l’institut Fourier

In this paper we study the nilpotency of certain groups of self homotopy equivalences. Our main goal is to extend, to localized homotopy groups and/or homotopy groups with coefficients, the general principle of Dror and Zabrodsky by which a group of self homotopy equivalences of a finite complex which acts nilpotently on the homotopy groups is itself nilpotent.

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