Localizing groups with action.

Georg Peschke

Publicacions Matemàtiques (1989)

  • Volume: 33, Issue: 2, page 227-234
  • ISSN: 0214-1493

Abstract

top
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.

How to cite

top

Peschke, Georg. "Localizing groups with action.." Publicacions Matemàtiques 33.2 (1989): 227-234. <http://eudml.org/doc/41097>.

@article{Peschke1989,
abstract = {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.},
author = {Peschke, Georg},
journal = {Publicacions Matemàtiques},
keywords = {Teoría de grupos; Localización; localization of groups; localization of spaces; semidirect product; loop space; CW-complex},
language = {eng},
number = {2},
pages = {227-234},
title = {Localizing groups with action.},
url = {http://eudml.org/doc/41097},
volume = {33},
year = {1989},
}

TY - JOUR
AU - Peschke, Georg
TI - Localizing groups with action.
JO - Publicacions Matemàtiques
PY - 1989
VL - 33
IS - 2
SP - 227
EP - 234
AB - 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.
LA - eng
KW - Teoría de grupos; Localización; localization of groups; localization of spaces; semidirect product; loop space; CW-complex
UR - http://eudml.org/doc/41097
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.