Spaces associated to quadratic endofunctors of the category of groups

Autores: Hans-Joachim Baues, Teimuraz Pirashvili
Localización: Extracta mathematicae, ISSN-e 0213-8743, Vol. 20, Nº 2, 2005, págs. 99-136
Idioma: inglés
Títulos paralelos:
- Espacios asociados a endofunctores cuadráticos de la categoría de grupos
Enlaces
- Texto completo 1 2 (pdf)
Resumen
- Square groups are gadgets classifying quadratic endofunctors of the category of groups. Applying such a functor to the Kan simplicial loop group of the 2-dimensional sphere one obtains a one-connected three-type. We consider the problem of characterization of those three-types X which can be obtained in this way. We solve this problem in some cases, including the case when ¿2(X) is a finitely generated abelian group. The corresponding stable problem is solved completely.