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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Brown, Ronald, Wensley, Christopher D. (1996)
Theory and Applications of Categories [electronic only]
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Carrasco, P., Garzon, A.R., Vitale, E.M. (2006)
Theory and Applications of Categories [electronic only]
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Mutlu, A., Porter, T. (1998)
Theory and Applications of Categories [electronic only]
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Katherine Norrie (1990)
Bulletin de la Société Mathématique de France
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F. J. Korkes, T. Porter (1990)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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B. A. R. Garzón, A. del Rio (2003)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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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.
A. M. Vieites Rodríguez, J. M. Casas Mirás (1999)
Extracta Mathematicae
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Brown, Ronald, Sivera, Rafael (2009)
Theory and Applications of Categories [electronic only]
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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.