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Extension of Gravity Centers Configuration to Steiner TripleSystems
Authors:Günter Pickert
Affiliation:(1) Mathematisches Institut, Universität Gie, Arndtstr. 2, 35392 Gie, Germany
Abstract:
The centers of gravity of a simplex in a rational affinespace and its subsimplices form a semilinear space. For thisconfiguration several extensions to Steiner triple systems withthe same point set are constructed by using totally symmetricloops.
Keywords:Center of gravity  semilinear space  Steiner triple systems  totally symmetric loop.
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