Invariant subgroups of \(^ V V\)
type: Item
instance of: scholarly article
title: Invariant subgroups of \(^ V V\)
zbMATH Open document ID: 0789.03032
DOI: 10.1016/0021-8693(92)90130-E
author: Gisela Ahlbrandt
author: Martin Ziegler
published in: Journal of Algebra
publication date: 1993-03-29T00:00:00Z
review text: Let \(V\) be a vector space of countably infinite dimension over the field \(F_ 2\) with two elements. The authors classify invariant subgroups which arise as kernels of certain canonical projections of the automorphism groups of totally categorical structures onto the general linear group \(GL(V)\). They first determine all invariant subgroups of \({^ V F_ 2}\) and then all closed and invariant subgroups of \({^{V\bullet}F_ 2}\). These results are used in the final section in the case of \({^ V V}\).
Mathematics Subject Classification ID: 03C35
Mathematics Subject Classification ID: 03C60
zbMATH DE Number: 130647
zbMATH Keywords: covers
zbMATH Keywords: automorphism groups
zbMATH Keywords: totally categorical structures
zbMATH Keywords: invariant subgroups
reviewed by: Ulrich Felgner
MaRDI profile type: Publication
cites work: What's so special about \((\mathbb{Z}/4\mathbb{Z})^ \omega\)?
description: scientific article; zbMATH DE number 130647