Relative derived functors and the homology of groups
Graham J. Ellis (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Graham J. Ellis (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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C. Rodríguez-Fernández, E. G. Rodeja Fernández (1991)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Goedecke, Julia, Van Der Linden, Tim (2007)
Journal of Homotopy and Related Structures
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Yuh-Ching Chen (1968)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Everaert, T., Van der Linden, T. (2004)
Theory and Applications of Categories [electronic only]
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Barr, Michael (2005)
Theory and Applications of Categories [electronic only]
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Philippe Gaucher (2002)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Daryl George (1984)
Fundamenta Mathematicae
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Hans-Joachim Baues, Teimuraz Pirashvili (2005)
Extracta Mathematicae
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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 π(X) is a finitely generated abelian group. The corresponding stable problem is solved completely.