Localization and completion of nilpotent groups of automorphisms

• Autores: Ken-Ichi Maruyama
• Localización: Topology, ISSN 0040-9383, Vol. 46, Nº 3, 2007, págs. 319-341
• Idioma: inglés
• DOI: 10.1016/j.top.2007.01.003
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• Resumen

  • We study nilpotent subgroups of automorphism groups in the category of groups and the homotopy category of spaces. We establish localization and completion theorems for nilpotent groups of automorphisms of nilpotent groups. We then apply these algebraic theorems to prove analogous results for certain groups of self-homotopy equivalences of spaces.