Nilpotency of self homotopy equivalences with coefficients

Details Nilpotency of self homotopy equivalences with coefficients Nilpotency of self homotopy equivalences with coefficients

2007-03-29

arxiv.org/abs/math/0703876v3

Mathematics

Algebraic Topology

15 pages. No figures. Minor corrections

Scientific paper

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 space which acts
nilpotently on the homotopy groups is itself nilpotent.

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