On Bousfield problem for the class of metabelian groups

preprint2014arXivOpen access

The homological properties of localizations and completions of metabelian groups are studied. It is shown that, for $R=\mathbb Q$ or $R=\mathbb Z/n$ and a finitely presented metabelian group $G$ , the natural map from $G$ to its $R$ -completion induces an epimorphism of homology groups $H_2(-,R)$ . This answers a problem of A.K. Bousfield for the class of metabelian groups.

Explore this paper’s authors, topics and related work.

Building this map preview

BZPEER is loading the nearby papers, people, topics and institutions for this page.

Write a reviewWrite

No reviews yet.

Add a commentWrite

No comments yet.

On Bousfield problem for the class of metabelian groups

Abstract

Connections

Building this map preview

Reviews 0

Discussion 0