Localizing groups with action

• Autores: George Peschke
• Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 33, Nº 2, 1989, págs. 227-234
• Idioma: inglés
• Títulos paralelos:
  • Localización de grupos con acción
• Enlaces
  • Texto completo
• Resumen

  • 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 p1X and the free homotopy groups [Sk-1, OX], k = 2, are P-local.