Skip to main content

Affine triple systems

  • Special Invited Addresses
  • Conference paper
  • First Online:
Combinatorics and Graph Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 885))

  • 1124 Accesses

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. L. Beneteau, Topics about Moufang Loops and Hall Triple Systems, to appear in “Simon Stevin”.

    Google Scholar 

  2. G. Bol, Gewebe und Gruppen, Mathematisch Annalen, 114(1937), 414–431.

    Article  MathSciNet  MATH  Google Scholar 

  3. R.H. Bruck, A Survey of Binary Systems, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 20, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1958.

    Book  MATH  Google Scholar 

  4. R.H. Bruck, Some theorems on Moufang loops, Mathematische Zeitscrift, 73(1960), 59–78.

    Article  MathSciNet  MATH  Google Scholar 

  5. F. Buekenhout, Une caractérisation des espaces affins basée sur la notion de droite, Mathematische Zeitschrift, 111(1969), 367–371.

    Article  MathSciNet  MATH  Google Scholar 

  6. M. Hall, Automorphisms of Steiner triple systems, IBM Journal of Research and Development, 1960, 460–472.

    Google Scholar 

  7. M. Hall, Incidence axioms for affine geometry, Journal of Algebra, 21 (1972), 535–547.

    Article  MathSciNet  MATH  Google Scholar 

  8. J-P. Malbos, Sur la classe de nilpotence des Boucles commutatives de Moufang et des espaces mediaux, C. R. Acad. Sc. Paris, Série A, 287(1978), 691–693.

    MathSciNet  MATH  Google Scholar 

  9. J.D.H. Smith, On the nilpotence class of commutative Moufang loops, Mathematical Proceedings of the Cambridge Philosophical Society, 84(1978), 387–404.

    Article  MathSciNet  MATH  Google Scholar 

  10. R. Roth, Hall triple systems and commutative Moufang exponent three loops, Ph.d., dissertation 1979, The Ohio State University.

    Google Scholar 

  11. P. Young, Affine triple systems and matroid designs, Mathematische Zeitschrift, 132(1973), 343–366.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Siddani Bhaskara Rao

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Ray-Chaudhuri, D.K. (1981). Affine triple systems. In: Rao, S.B. (eds) Combinatorics and Graph Theory. Lecture Notes in Mathematics, vol 885. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092255

Download citation

  • DOI: https://doi.org/10.1007/BFb0092255

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11151-1

  • Online ISBN: 978-3-540-47037-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics