Actions and automorphisms of crossed modules
Katherine Norrie (1990)
Bulletin de la Société Mathématique de France
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Displaying similar documents to “Derivations of crossed modules.”
Actions and automorphisms of crossed modules
Computing crossed modules induced by an inclusion of a normal subgroup, with applications to homotopy 2-types.
Brown, Ronald, Wensley, Christopher D. (1996)
Theory and Applications of Categories [electronic only]
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On categorical crossed modules.
Carrasco, P., Garzon, A.R., Vitale, E.M. (2006)
Theory and Applications of Categories [electronic only]
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On infinite induced crossed modules and the homotopy 2-type of mapping cones.
Brown, Ronald, Wensley, Christopher D. (1995)
Theory and Applications of Categories [electronic only]
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Coproduct of Crossed A-Modules of R-Algebroids
Osman Avcıoglu, Ibrahim Ilker Akça (2017)
Topological Algebra and its Applications
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In this study we construct, in the category XAlg(R) / A of crossed A-modules of R-algebroids, the coproduct of given two crossed A-modules M = (μ : M → A) and N = (ɳ : N → A) of R-algebroids in two different ways: Firstly we construct the coproduct M ᴼ* N by using the free product M * N of pre-R-algebroids M and N, and then we construct the coproduct M ᴼ⋉ N by using the semidirect product M ⋉ N of M and N via μ. Finally we construct an isomorphism betweenM ᴼ* N and M ᴼ⋉ N.
Higher order derivations of modules
Ribenboim, P. (1980)
Portugaliae mathematica
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Low-dimensional cohomology for categorical groups
B. A. R. Garzón, A. del Rio (2003)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Baer invariants of crossed modules.
Leoncio Franco Fernández (1991)
Extracta Mathematicae
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The purpose of this paper is to establish a theory of Baer invariants, associated to certain types of varieties of (pre)crossed modules, and to obtain a five term exact sequence and 'the basic theorem' of Stallings in this setting. Our method, which extends results of [4] and aspects of [9], gives a systematic treatment for several cases.
Derivations of categorical groups.
Garzón, A.R., Inassaridze, H., del Río, A. (2004)
Theory and Applications of Categories [electronic only]
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Ganea term for CCG-homology of crossed modules.
Teimuraz Pirashvili (2000)
Extracta Mathematicae
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In [2] an internal homology theory of crossed modules was defined (CCG-homology for short), which is very much related to the homology of the classifying spaces of crossed modules ([5]). The goal of this note is to construct a low-dimensional homology exact sequence corresponding to a central extension of crossed modules, which is quite similar to the one constructed in [3] for group homology.