Publikation:

Topologisch linksengelsche Elemente

Lade...
Vorschaubild

Dateien

Zu diesem Dokument gibt es keine Dateien.

Datum

1985

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

DOI (zitierfähiger Link)
ArXiv-ID

Internationale Patentnummer

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

Manuscripta Mathematica. 1985, 49(3), pp. 243-266. ISSN 0025-2611. eISSN 1432-1785. Available under: doi: 10.1007/BF01215248

Zusammenfassung

Let G be a topological group. An element g∈G is called a topologically left Engel (t.l.e.) element iff the iterated commutators [...[[h,g],g]...,g] converge to 1 for every h∈G. This concept was introduced by V.P. Platonov, who asked various questions about these elements, e.g.: When do they form a subgroup? Especially, when does a group entirely consist of t.l.e. elements? What about the general properties of these elements? The main part of this paper deals with Lie groups, where the t.l.e. elements can be described completely. With the aid of these results, answers to Platonov's questions are given for many classes of locally compact groups.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690SCHEIDERER, Claus, 1985. Topologisch linksengelsche Elemente. In: Manuscripta Mathematica. 1985, 49(3), pp. 243-266. ISSN 0025-2611. eISSN 1432-1785. Available under: doi: 10.1007/BF01215248
BibTex
@article{Scheiderer1985Topol-23344,
  year={1985},
  doi={10.1007/BF01215248},
  title={Topologisch linksengelsche Elemente},
  number={3},
  volume={49},
  issn={0025-2611},
  journal={Manuscripta Mathematica},
  pages={243--266},
  author={Scheiderer, Claus}
}
RDF
<rdf:RDF
    xmlns:dcterms="http://purl.org/dc/terms/"
    xmlns:dc="http://purl.org/dc/elements/1.1/"
    xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
    xmlns:bibo="http://purl.org/ontology/bibo/"
    xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
    xmlns:foaf="http://xmlns.com/foaf/0.1/"
    xmlns:void="http://rdfs.org/ns/void#"
    xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > 
  <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/23344">
    <dcterms:bibliographicCitation>Manuscripta Mathematica ; 49 (1985), 3. - S. 243-266</dcterms:bibliographicCitation>
    <dc:creator>Scheiderer, Claus</dc:creator>
    <dcterms:issued>1985</dcterms:issued>
    <dcterms:abstract xml:lang="eng">Let G be a topological group. An element g∈G is called a topologically left Engel (t.l.e.) element iff the iterated commutators [...[[h,g],g]...,g] converge to 1 for every h∈G. This concept was introduced by V.P. Platonov, who asked various questions about these elements, e.g.: When do they form a subgroup? Especially, when does a group entirely consist of t.l.e. elements? What about the general properties of these elements? The main part of this paper deals with Lie groups, where the t.l.e. elements can be described completely. With the aid of these results, answers to Platonov's questions are given for many classes of locally compact groups.</dcterms:abstract>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:title>Topologisch linksengelsche Elemente</dcterms:title>
    <dc:language>eng</dc:language>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-05-15T06:43:32Z</dcterms:available>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:contributor>Scheiderer, Claus</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:rights>terms-of-use</dc:rights>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/23344"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-05-15T06:43:32Z</dc:date>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Nein
Begutachtet
Diese Publikation teilen