Localizing groups with action.
Peschke, Georg
Publicacions Matemàtiques, Tome 33 (1989), p. 227-234 / Harvested from Biblioteca Digital de Matemáticas
Access to full text

When localizing the semidirect product of two groups, the effect on the factors is made explicit. As an application in Topology, we show that the loop space of a based connected CW-complex is a P-local group, up to homotopy, if and only if π1X and the free homotopy groups [Sk-1, ΩX], k ≥ 2, are P-local.

Publié le : 1989-01-01
DMLE-ID : 3651 
@article{urn:eudml:doc:41097,
     title = {Localizing groups with action.},
     journal = {Publicacions Matem\`atiques},
     volume = {33},
     year = {1989},
     pages = {227-234},
     zbl = {0693.55008},
     mrnumber = {MR1030966},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:41097}
}

Peschke, Georg. Localizing groups with action.. Publicacions Matemàtiques, Tome 33 (1989) pp. 227-234. http://gdmltest.u-ga.fr/item/urn:eudml:doc:41097/