The first derived functor of the inverse limit and localization
type: Item
instance of: scholarly article
title: The first derived functor of the inverse limit and localization
zbMATH Open document ID: 1009.20034
DOI: 10.1016/S0022-4049(01)00173-6
author: Kouyemon Iriye
published in: Journal of Pure and Applied Algebra
publication date: 2002-08-22T00:00:00Z
review text: For a tower \(G\) of finitely generated nilpotent groups we denote by \(G_{(p)} \) its localization at a prime \(p\). It is shown that if \(\varprojlim^1G\) is nontrivial, then the canonical map \(\varprojlim^1G\to\prod_{\text{all primes}}\varprojlim^1G_{(p)}\) is an infinite-to-one covering. Another result concerning the first derived functor of the inverse limit and localization is also shown in this paper.
Mathematics Subject Classification ID: 20E22
Mathematics Subject Classification ID: 20F18
Mathematics Subject Classification ID: 55P60
Mathematics Subject Classification ID: 20J05
Mathematics Subject Classification ID: 18G10
zbMATH DE Number: 1787482
zbMATH Keywords: \(p\)-localizations
zbMATH Keywords: CW-complexes
zbMATH Keywords: finitely generated nilpotent groups
zbMATH Keywords: inverse limits
zbMATH Keywords: derived functors
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1787482