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Eine Bemerkung zur Nilpotenz lokal kompakter Gruppen

A remark on nilpotency of locally compact groups

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Abstract

Let G be a locally compact group which is connected or finite dimensional and compact over its connected component. If every (closed) subgroup of G is nilpotent then G is nilpotent.

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Literatur

  1. Freudenthal, H., andH. de Vries: Linear Lie groups. New York-London: Academic Press. 1969.

    Google Scholar 

  2. Hewitt, E., andK. A. Ross: Abstract harmonic Analysis I. Berlin-Heidelberg-New York: Springer. 1963.

    Google Scholar 

  3. Hofmann, K. H.: Einführung in die Theorie der Liegruppen, Teil I. Vorlesungsausarbeitung Tübingen, Wintersemester 1962/63.

  4. Hofmann, K. H., andP. Mostert: Splitting in topological groups. Memoirs of the AMS 43, Am. Math. Soc. 1963.

  5. Lee, D. H.: Supplements for the Identity Component in Locally Compact Groups. Math. Z.104, 28–49 (1968).

    Google Scholar 

  6. Montgomery, D., andL. Zippin: Topological Transformation Groups. New York: Interscience Publishers. 1955.

    Google Scholar 

  7. Muchin, Ju. N.: Über die Frattinigruppe einer topologischen Gruppe. (Russisch) Izvestija vysšich učebnych Zavedenij104, 53–61 (1971).

    Google Scholar 

  8. Muchin, Ju. N., undS. P. Chomenko: Smidtsche topologische Gruppen. (Russisch) Grupy s ograničenijami dlja podgrup, S. 206–217. Akademie der Wissenschaften der Ukrainischen Sowjetrepublik. Kiev: Naukova Dumka. 1971.

    Google Scholar 

  9. Pasynkov, B. A.: Über das Zusammenfallen verschiedener Dimensionsbegriffe für Faktorräume lokalkompakter Gruppen. (Russisch) Uspechi Mat. Nauk SSSR, N. S.17, 129–135 (1962).

    Google Scholar 

  10. Tits, J.: Liesche Gruppen und Algebren. Vorlesungsausarbeitung. Bonn 1963/64.

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Authors and Affiliations

  1. Mathematisches Institut der Universität Erlangen-Nürnberg, Bismarckstraße 11/2, D-8520, Erlangen, Bundesrepublik Deutschland

    Karl Strambach

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  1. Karl Strambach
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Strambach, K. Eine Bemerkung zur Nilpotenz lokal kompakter Gruppen. Monatshefte fü Mathematik 79, 147–150 (1975). https://doi.org/10.1007/BF01585671

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  • DOI: https://doi.org/10.1007/BF01585671

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