Skip to main content
Log in

Group-theoretic description of the three Euclidean planes

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

Literature Cited

  1. R. I. Pimenov, On the Foundations of Geometry, Dokl. Ak. Nauk SSSR,155, No. 1, 44–46 (1964).

    Google Scholar 

  2. R. I. Pimenov, A Unified Axiomaties of Spaces with a Maximal Group of Motions, Litovskii Matem. Sb.,5, No. 3, 457–486 (1965).

    Google Scholar 

  3. B. A. Rozenfel'd, I. M. Yaglom, and E. U. Yasinskaya, Projective Metrics, Usp. Matem. Nauk,19, No. 5, 51–113 (1964).

    Google Scholar 

  4. H. Saltzmann, The Classification of the Three Classical Plane Geometries, Illinois Math. J.7, No. 4, 543–547 (1963).

    Google Scholar 

  5. D. Hilbert, The Foundations of Geometry (Open Court Publ. Co., La Salle, 111. (1962).

    Google Scholar 

  6. Yu. Lumiste, On Intermediacy Models, Izv. Ak. Nauk ÉsiSSR, Ser. Fiz., Matem. Tekhn. Nauk,13, No. 3, 200–209 (1964).

    Google Scholar 

  7. H. Saltzmann, Zur Klassification Topologischer Ebenen (Classification of Topological Planes), Abh. Math. Semin. Univ. Hamburg,27, No. 3/4, 145–166 (1964).

    Google Scholar 

Download references

Authors

Additional information

Translated from Sibirskii Matematicheskii Zharnal, Vol. 8, No. 1, pp. 49–55, January–February, 1967.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pimenov, R.I. Group-theoretic description of the three Euclidean planes. Sib Math J 8, 35–39 (1967). https://doi.org/10.1007/BF01040570

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01040570

Keywords

Navigation