Topological Frobenius groups
type: Item
instance of: scholarly article
title: Topological Frobenius groups
zbMATH Open document ID: 0577.22004
DOI: 10.1016/0021-8693(85)90143-7
author: Wolfgang Herfort
author: Larry Michael Manevitz
published in: Journal of Algebra
publication date: 1985-01-01T00:00:00Z
review text: Structure theorems are obtained for topologically locally finite, totally disconnected groups which possess a compact open unit neighbourhood invariant under all inner automorphisms. These generalize results of Kegel and Wehrfritz for locally finite Frobenius groups and of Gildenhuys, Herfort and Ribes for a class of profinite Frobenius groups. The arguments depend on two propositions in categorical language proved using techniques of non-standard analysis.
Mathematics Subject Classification ID: 22A05
Mathematics Subject Classification ID: 03H05
Mathematics Subject Classification ID: 20E25
Mathematics Subject Classification ID: 18B30
zbMATH DE Number: 3922997
zbMATH Keywords: IN-groups
zbMATH Keywords: locally finite
zbMATH Keywords: totally disconnected groups
zbMATH Keywords: Frobenius groups
zbMATH Keywords: non-standard analysis
reviewed by: Douglas L. Grant
MaRDI profile type: Publication
full work available at URL: 0021-8693(85)90143-7
OpenAlex ID: W2081453055
cites work: Inverse Limits of Solvable Groups
cites work: Q4132530
cites work: Q5517703
cites work: Profinite Frobenius groups
cites work: Compactness conditions in topological groups.
cites work: Compact torsion groups and finite exponent
cites work: Endliche Gruppen I
cites work: Strong finiteness conditions in locally finite groups
cites work: Q5565588
cites work: Classes of nonabelian, noncompact, locally compact groups
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cites work: Non-standard analysis
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description: scientific article; zbMATH DE number 3922997