Localizing groups with action.

Georg Peschke

Displaying similar documents to “Localizing groups with action.”

On Postnikov-true families of complexes and the Adams completion

Aristide Delenau, Peter Hilton (1980)

Fundamenta Mathematicae

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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.

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 $K$ -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 $G (X)$ over ordered simplicial complexes $X$ are generalizations to higher dimensions of graphs of groups. We first relate them to complexes of spaces by considering their classifying space $B G (X)$ . Then we develop their homological algebra aspects. We define the notions of homology and cohomology of a complex of groups $G (X)$ with coefficients in a $G (X)$ -module and show the existence of free resolutions. We apply those notions to study extensions of complexes of groups with constant or...