Abstract
The centers of gravity of a simplex in a rational affine space and its subsimplices form a semilinear space. For this configuration several extensions to Steiner triple systems with the same point set are constructed by using totally symmetric loops.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
We’re sorry, something doesn't seem to be working properly.
Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.
References
R. H. Bruck, A Survey of Binary Systems, Springer, Berlin/Göttingen/Heidelberg (1958).
G. Pickert, Konstruktion zweier (15,3,l)-Blockpläne, Abh. Math. Sem. Hamburg, Vol. 65 (1995) pp. 165–173.
G. Pickert, Einführung in die endliche Geometrie, Stuttgart (1974).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Additional information
Dedicated to Hanfried Lenz on the occasion of his 80th birthday
Rights and permissions
Copyright information
© 1996 Kluwer Academic Publishers, Boston
About this chapter
Cite this chapter
Pickert, G. (1996). Extension of Gravity Centers Configuration to Steiner Triple Systems. In: Jungnickel, D. (eds) Designs and Finite Geometries. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1395-3_15
Download citation
DOI: https://doi.org/10.1007/978-1-4613-1395-3_15
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4612-8604-2
Online ISBN: 978-1-4613-1395-3
eBook Packages: Springer Book Archive