We prove that every homotopical localization of the circle S 1 is an aspherical space whose fundamental group A is abelian and admits a ring structure with unit such that the evaluation …
This paper provides a comprehensive investigation of the cellular approximation functor cellAG, in the category of groups, approximating a group G by a group A. We also study …
L Fuchs, R Göbel - Results in Mathematics, 2009 - Springer
We are investigating cellular covers of abelian groups (for definition, see Preliminaries). Surjective cellular covers of divisible abelian groups have been characterized in a recent …
We describe the action of idempotent transformations on finite groups. We show that finiteness is preserved by such transformations and enumerate all possible values such …
R Göbel, JL Rodríguez, L Strüngmann - arXiv preprint arXiv:0906.4183, 2009 - arxiv.org
In this paper we improve recent results dealing with cellular covers of $ R $-modules. Cellular covers (sometimes called co-localizations) come up in the context of homotopical …
L Fuchs, B Goldsmith, L Salce… - Forum Mathematicum, 2024 - degruyter.com
Cellular covers which originate in homotopy theory are considered here for a very special class: divisible uniserial modules over valuation domains. This is a continuation of the study …
RJ Flores, RM Foote - Israel Journal of Mathematics, 2011 - Springer
THE CELLULAR STRUCTURE OF THE CLASSIFYING SPACES OF FINITE GROUPS Page 1 ISRAEL JOURNAL OF MATHEMATICS 184 (2011), 129–156 DOI: 10.1007/s11856-011-0062-0 …
R Flores, F Muro - Algebraic & Geometric Topology, 2019 - msp.org
We describe the role of the Schur multiplier in the structure of the p–torsion of discrete groups. More concretely, we show how the knowledge of H 2 G allows us to approximate …
JL Rodríguez, L Strüngmann - Mediterranean Journal of Mathematics, 2012 - Springer
In this paper we show that every cotorsion-free and reduced abelian group of any finite rank (in particular, every free abelian group of finite rank) appears as the kernel of a cellular cover …