On the WGSC property in some classes of groups.
type: Item
instance of: scholarly article
title: On the WGSC property in some classes of groups.
zbMATH Open document ID: 1204.20046
author: Daniele Ettore Otera
author: Francesco Russo
published in: Mediterranean Journal of Mathematics
publication date: 2010-01-18T00:00:00Z
review text: The aim of this paper is the study of finitely generated soluble groups with certain geometric properties. In particular, it is shown that any finitely presented soluble coherent group \(G\) is weakly geometrically simply connected, i.e., there exists a polyhedron \(P\) whose fundamental group is isomorphic to \(G\) and the universal covering of \(P\) is covered by compact and simply connected subpolyhedra.
Mathematics Subject Classification ID: 20F16
Mathematics Subject Classification ID: 20F05
Mathematics Subject Classification ID: 57M07
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20F24
zbMATH DE Number: 5659723
zbMATH Keywords: weak geometric simple connectivity
zbMATH Keywords: finitely presented groups
zbMATH Keywords: solvable groups
zbMATH Keywords: generalized FC-groups
zbMATH Keywords: coherent groups
zbMATH Keywords: connected groups
zbMATH Keywords: fundamental groups
zbMATH Keywords: universal coverings
MaRDI profile type: Publication
full work available at URL: s00009-009-0021-8
OpenAlex ID: W1987686739
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DOI: 10.1007/S00009-009-0021-8
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description: scientific article; zbMATH DE number 5659723