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Localizations associated to semidirect products

✍ Scribed by José Luis Rodrı́guez; Dirk Scevenels

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
91 KB
Volume
108
Category
Article
ISSN
0166-8641

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✦ Synopsis

For homotopical localization with respect to any continuous map, there are results describing the relations among the localization functors associated to the maps of a given fibration. Here we treat an analogous question in a group-theoretical context: we study localization functors associated to a short exact sequence of groups. We further specialize to a split short exact sequence of groups.

In particular, we describe explicitly the localization functors associated to a semidirect product of finitely generated Abelian groups.

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