On Postnikov-true families of complexes and the Adams completion
Aristide Delenau, Peter Hilton (1980)
Fundamenta Mathematicae
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Displaying similar documents to “Localizing groups with action.”
On Postnikov-true families of complexes and the Adams completion
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.
Equations in groups, with special emphasis on localization and torsion - II
Ribenboim, P. (1987)
Portugaliae mathematica
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P-localization of some classes of groups.
Augusto Reynol Filho (1993)
Publicacions Matemàtiques
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The aim for the present paper is to study the theory of P-localization of a group in a category C such that it contains the category of the nilpotent groups as a full sub-category. In the second section we present a number of results on P-localization of a group G, which is the semi-direct product of an abelian group A with a group X, in the category G of all groups. It turns out that the P-localized (G) is completely described by the P-localized X of X, A and the action w of X on A....
Schreier type theorems for bicrossed products
Ana Agore, Gigel Militaru (2012)
Open Mathematics
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We prove that the bicrossed product of two groups is a quotient of the pushout of two semidirect products. A matched pair of groups (H;G; α; β) is deformed using a combinatorial datum (σ; v; r) consisting of an automorphism σ of H, a permutation v of the set G and a transition map r: G → H in order to obtain a new matched pair (H; (G; *); α′, β′) such that there exists a σ-invariant isomorphism of groups H α⋈β G ≅H α′⋈β′ (G, *). Moreover, if we fix the group H and the automorphism σ...
Nullification functors and the homotopy type of the classifying space for proper bundles.
Flores , Ramón J. (2005)
Algebraic & Geometric Topology
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Algebraic properties of decorated splitting obstruction groups
A. Cavicchioli, Y. V. Muranov, D. Repovš (2001)
Bollettino dell'Unione Matematica Italiana
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In questo articolo si riassumono le definizioni e le principali proprietà dei gruppi di ostruzione con decorazione di tipo LS e LP. Si stabiliscono nuove relazioni fra questi gruppi e si descrivono le proprietà delle mappe naturali fra differenti gruppi con decorazione. Si costruiscono varie successioni spettrali, contenenti questi gruppi con decorazione, e si studiano la loro connessione con le successioni spettrali in -teoria per certe estensioni quadratiche di antistrutture. Infine,...
Restoration of structure
Peter Hilton, Joseph Roitberg (1981)
Cahiers de Topologie et Géométrie Différentielle Catégoriques
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Extension of complexes of groups
André Haefliger (1992)
Annales de l'institut Fourier
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Complexes of groups over ordered simplicial complexes are generalizations to higher dimensions of graphs of groups. We first relate them to complexes of spaces by considering their classifying space . Then we develop their homological algebra aspects. We define the notions of homology and cohomology of a complex of groups with coefficients in a -module and show the existence of free resolutions. We apply those notions to study extensions of complexes of groups with constant or...