Nilpotency of self homotopy equivalences with coefficients
[Nilpotence des auto-équivalences d’homotopie avec des coefficients]
Cuvilliez, Maxence ; Murillo, Aniceto ; Viruel, Antonio
Annales de l'Institut Fourier, Tome 61 (2011), p. 351-364 / Harvested from Numdam
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Nous étudions la nilpotence de certains groupes d’auto-équivalences d’homotopie. Notre objectif principal est d’étendre, aux groupes d’homotopy localisés et/ou aux groupes homotopie avec des coefficients, le principe général de Dror et A.  Zabrodsky par lequel un groupe d’auto-équivalences d’homotopie d’un complexe fini, qui agit de façon nilpotente sur les groupes homotopie, est lui-même nilpotent

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.

Publié le : 2011-01-01
DOI : https://doi.org/10.5802/aif.2604
Classification:  55P10
Mots clés: auto équivalence d’homotopie 
@article{AIF_2011__61_1_351_0,
     author = {Cuvilliez, Maxence and Murillo, Aniceto and Viruel, Antonio},
     title = {Nilpotency of self homotopy equivalences with coefficients},
     journal = {Annales de l'Institut Fourier},
     volume = {61},
     year = {2011},
     pages = {351-364},
     doi = {10.5802/aif.2604},
     zbl = {1221.55008},
     mrnumber = {2828133},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2011__61_1_351_0}
}

Cuvilliez, Maxence; Murillo, Aniceto; Viruel, Antonio. Nilpotency of self homotopy equivalences with coefficients. Annales de l'Institut Fourier, Tome 61 (2011) pp. 351-364. doi : 10.5802/aif.2604. http://gdmltest.u-ga.fr/item/AIF_2011__61_1_351_0/

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