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Homogeneous translation groups

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References

  1. J.Dugundji, Topology. Boston 1966.

  2. H. Freudenthal, Kompakte projektive Ebenen. I11. J. Math.1, 9–13 (1957).

    Google Scholar 

  3. A. M. Gleason, Finite Fano Planes. Amer. J. Math.78, 797–807 (1956).

    Google Scholar 

  4. R. Löwen, Locally compact connected groups acting on euclidean space with Lie isotropy groups are Lie. Geom. Dedic.5, 171–174 (1976).

    Google Scholar 

  5. R. Löwen, Central collineations and the parallel axiom in stable planes. Geom. Dedic.10, 283–315 (1981).

    Google Scholar 

  6. R. Löwen, Topology and dimension of stable planes: On a conjecture of H. Freudenthal. J. Reine Angew. Math.343, 108–122 (1983).

    Google Scholar 

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

    Google Scholar 

  8. G.Pickert, Projektive Ebenen. Berlin-Heidelberg-New York 1975.

  9. H. Salzmann, Kollineationsgruppen kompakter, 4-dimensionaler Ebenen. Math. Z.117, 112–124 (1970).

    Google Scholar 

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

    Google Scholar 

  11. H.Salzmann, Projectivities and the topology of lines. Bad Windsheim 1980, 313–337. Dordrecht-Boston-London 1981.

  12. H.Salzmann, Compact 16-dimensional projective planes with large collineation groups IV. Submitted.

  13. L. A. Skornjakov, Topological projective planes. Trudy Moskov. Mat. Obšč.3, 347–373 (1954).

    Google Scholar 

  14. P. A. Smith, Fixed-point theorems for periodic transformations. Amer. J. Math.63, 1–8 (1941).

    Google Scholar 

  15. E. H.Spanier, Algebraic topology. New York 1966.

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Salzmann, H. Homogeneous translation groups. Arch. Math 44, 95–96 (1985). https://doi.org/10.1007/BF01193787

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