Displaying similar documents to “A useful category for mixed Abelian groups.”

The two-square lemma.

Temple H. Fay, Keith A. Hardie, Peter J. Hilton (1989)

Publicacions Matemàtiques

Similarity:

A new proof is given of the connecting homomorphism.

Spaces associated to quadratic endofunctors of the category of groups.

Hans-Joachim Baues, Teimuraz Pirashvili (2005)

Extracta Mathematicae

Similarity:

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.