Higher-dimensional algebra. V: 2-Groups.
Baez, John C., Lauda, Aaron D. (2004)
Theory and Applications of Categories [electronic only]
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Baez, John C., Lauda, Aaron D. (2004)
Theory and Applications of Categories [electronic only]
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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.
Bondarko, M.V., Vostokov, S.V., Minchev, Kh.P. (2004)
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