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arXiv · 1604.05889

On the dimension of classifying spaces for families of abelian subgroups

Ged Corob Cook·Victor Moreno·Brita Nucinkis·Federico Pasini
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Abstract

We show that a finitely generated abelian group $G$ of torsion-free rank $n\geq 1$ admits a $n+r$ dimensional model for the classifying space with isotropy in the family of subgroups of torsion-free rank less than or equal to $r\geq 0$.

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Ged Corob Cook, Victor Moreno, Brita Nucinkis, Federico Pasini. 2016-04-20. On the dimension of classifying spaces for families of abelian subgroups. https://arxiv.org/abs/1604.05889

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