English

Nilpotency of self homotopy equivalences with coefficients

Algebraic Topology 2009-06-17 v3

Abstract

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.

Keywords

Cite

@article{arxiv.math/0703876,
  title  = {Nilpotency of self homotopy equivalences with coefficients},
  author = {Maxence Cuvilliez and Aniceto Murillo and Antonio Viruel},
  journal= {arXiv preprint arXiv:math/0703876},
  year   = {2009}
}

Comments

15 pages. No figures. Minor corrections

R2 v1 2026-07-22T17:53:26.539Z