The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

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.