Skip to main content
SpringerLink
Log in

Compact 16-dimensional projective planes with large collineation groups

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bredon, G.E.: Transformation groups with orbits of uniform dimension. Michigan Math. J.8, 139–147 (1961)

    Article  Google Scholar 

  2. Chen, Su-Shing: On subgroups of the noncompact real exceptional Lie groupF *4 . Math. Ann.204, 271–284 (1973)

    Article  Google Scholar 

  3. Hähl, H.: Eine Klassifikation achtdimensionaler lokalkompakter Translationsebenen nach ihrer Kollineationsgruppe. Habilitationsschrift, Tübingen 1977

  4. Hähl, H.: Zur Klassifikation von 8-und 16-dimensionalen Translationsebenen nach ihren Kollineationsgruppen. Math. Z.159, 259–294 (1978)

    Article  Google Scholar 

  5. Hähl, H.: Achtdimensionale lokalkompakte Translationsebenen mit großen kompakten Kollineationsgruppen. Mh. Math.90, 207–218 (1980)

    Google Scholar 

  6. Hähl, H.: Homologies and elations in compact, connected projective planes. Topol. Appl.12, 49–63 (1981)

    Google Scholar 

  7. Halder, H.R.: Dimension der Bahnen lokal kompakter Gruppen. Arch. Math.22, 302–303 (1971)

    Google Scholar 

  8. Löwen, R.: Homogeneous compact projective planes. J. Reine Angew. Math.321, 217–220 (1981)

    Google Scholar 

  9. Löwen, R.: Stable planes with isotropic points. Math. Z.182 (1983)

  10. Löwen, R., Salzmann, H.: Collineation groups of compact connected projective planes. Arch. Math.38, 368–373 (1982)

    Google Scholar 

  11. Montgomery, D., Zippin, L.: Topological transformation groups. New York: Wiley 1955

    Google Scholar 

  12. Poncet, J.: Groupes de Lie compacts de transformations de l'espace euclidien et les sphères comme espaces homogènes. Comment. Math. Helv.33, 109–120 (1959)

    Google Scholar 

  13. Salzmann, H.: Topological planes. Adv. Math.2, 1–60 (1967)

    Google Scholar 

  14. Salzmann, H.: Homogene kompakte projektive Ebenen. Pacific J. Math.60, 217–234 (1975)

    Google Scholar 

  15. Salzmann, H.: Compact planes of Lenz type III. Geom. Dedic.3, 399–403 (1974)

    Google Scholar 

  16. Salzmann, H.: Compact 8-dimensional projective planes with large collineation groups. Geom. Dedic.8, 139–161 (1979)

    Google Scholar 

  17. Salzmann, H.: Automorphismengruppen 8-dimensionaler Ternärkörper. Math. Z.166, 265–275 (1979)

    Google Scholar 

  18. Salzmann, H.: Kompakte, 8-dimensionale projektive Ebenen mit großer Kollineationsgruppe. Math. Z.176, 345–357 (1981)

    Google Scholar 

  19. Salzmann, H.: Projectivities and the topology of lines. Geometry—von Staudt's point of view. Proc. Bad Windsheim 1980, 313–337, Dordrecht: Reidel 1981

    Google Scholar 

  20. Salzmann, H.: Baer-Kollineationsgruppen der klassischen proiektiven Ebenen. Arch. Math.38, 374–377 (1982)

    Google Scholar 

  21. Smith, P.: Fixed-point theorems for periodic transformations. Am. J. Math.63, 1–8 (1941)

    Google Scholar 

  22. Smith, P.: New results and old problems in finite transformation groups. Bull. Am. Math. Soc.66, 401–415 (1960)

    Google Scholar 

  23. Szenthe, J.: On the topological characterization of transitive Lie group actions. Acta Scient. Math. Szeged36, 323–344 (1974)

    Google Scholar 

  24. Tits, J.: Sur certaines classes d'espaces homogènes de groupes de Lie. Acad. Roy. Belg. Cl. Sci. Mem. Coll. in-8o,29, No. 3, 268 p. (1955)

  25. Völklein, H.: Transitivitätsfragen bei linearen Liegruppen. Arch. Math.36, 23–34 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Mathematisches Institut der Universität, Auf der Morgenstelle 10, D-7400, Tübingen, Federal Republic of Germany

    H. Salzmann

Authors
  1. H. Salzmann
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Salzmann, H. Compact 16-dimensional projective planes with large collineation groups. Math. Ann. 261, 447–454 (1982). https://doi.org/10.1007/BF01457446

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01457446

Keywords

Search

Navigation