Invariance results for definable extensions of groups
type: Item
instance of: scholarly article
title: Invariance results for definable extensions of groups
zbMATH Open document ID: 1222.03042
author: Mário J. Edmundo
author: G. O. Jones
author: Nicholas J. Peatfield
published in: Archive for Mathematical Logic
publication date: 2011-03-02T00:00:00Z
review text: Let \(G\) be a group definable in some o-minimal expansion of an ordered group, \(H\) be a definable finite extension of \(G\). It is shown that, if \(G\) is defined in a reduct, then \(H\) is also definable in the reduct. A similar result is obtained for finite topological extensions of a definable group defined in some o-minimal expansion of the ordered set of real numbers.
reviewed by: Carlo Toffalori
Mathematics Subject Classification ID: 03C64
Mathematics Subject Classification ID: 20A15
Mathematics Subject Classification ID: 20E99
zbMATH DE Number: 5859281
zbMATH Keywords: o-minimal structure
zbMATH Keywords: definable group
zbMATH Keywords: finite extension
MaRDI profile type: Publication
full work available at URL: s00153-010-0196-5
OpenAlex ID: W2138490466
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DOI: 10.1007/S00153-010-0196-5
description: scientific article; zbMATH DE number 5859281