Four manifold topology and groups of polynomial growth
type: Item
instance of: scholarly article
title: Four manifold topology and groups of polynomial growth
zbMATH Open document ID: 0739.57011
published in: Pacific Journal of Mathematics
publication date: 1992-01-01T00:00:00Z
review text: In this paper we present a new proof that groups of polynomial growth are ``good'' in the sense of Freedman and Quinn. It follows from the results of Freedman that the five-dimensional \(s\)-cobordism theorem and the surgery exact sequence in dimension four hold for \(\pi_ 1(M)\) of polynomial growth. In the processes, we will give a slightly more efficient procedure for grope height raising and a slightly different procedure for using the grope height to kill fundamental group images.
Mathematics Subject Classification ID: 57N13
zbMATH DE Number: 4216266
zbMATH Keywords: good fundamental groups of 4-manifolds
zbMATH Keywords: Quinn-Freedman theory
zbMATH Keywords: groups of polynomial growth
zbMATH Keywords: five-dimensional \(s\)-cobordism theorem
zbMATH Keywords: surgery exact sequence in dimension four
zbMATH Keywords: grope height
author: Richard A. Stong
MaRDI profile type: Publication
full work available at URL: pjm.1993.157.145
OpenAlex ID: W2009225026
DOI: 10.2140/PJM.1993.157.145
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description: scientific article; zbMATH DE number 4216266