Torsors and special extensions
Maria J. Vale (1985)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Displaying similar documents to “Extension of complexes of groups”
Torsors and special extensions
Homology groups and eight-term exact sequences
J. Barja, C. Rodriguez (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Some remarks on sheaf cohomology
Yuh-Ching Chen (1969)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Spaces associated to quadratic endofunctors of the category of groups.
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.
Derivations of categorical groups.
Garzón, A.R., Inassaridze, H., del Río, A. (2004)
Theory and Applications of Categories [electronic only]
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Factorization systems for symmetric cat-groups.
Kasangian, S., Vitale, E.M. (2000)
Theory and Applications of Categories [electronic only]
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Simplicial matrices and the nerves of weak -categories I: Nerves of bicategories.
Duskin, John W. (2001)
Theory and Applications of Categories [electronic only]
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Applications of Peiffer pairings in the Moore complex of a simplicial group.
Mutlu, A., Porter, T. (1998)
Theory and Applications of Categories [electronic only]
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Cohomology rings of Artin groups
Claudia Landi (2000)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In this paper integer cohomology rings of Artin groups associated with exceptional groups are determined. Computations have been carried out by using an effective method for calculation of cup product in cellular cohomology which we introduce here. Actually, our method works in general for any finite regular complex with identifications, the regular complex being geometrically realized by a compact orientable manifold, possibly with boundary.