Abstract
A class of partial Steiner triple systems generalizing a reduct of the classical Pappus configuration and thus called semi-Pappus configurations is defined. Fundamental geometric properties, in particular, representations and the automorphisms of semi-Pappus configurations and of the convolutions of semi-Pappus configurations and the group C 2 are established.
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Communicated by D. Ghinelli.
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Prażmowska, M., Prażmowski, K. Semi-Pappus configurations; combinatorial generalizations of the Pappus configuration. Des. Codes Cryptogr. 61, 91–103 (2011). https://doi.org/10.1007/s10623-010-9440-6
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DOI: https://doi.org/10.1007/s10623-010-9440-6
Keywords
- Partial Steiner triple system
- Pappus configuration
- Veblen configuration
- Convolution (of a partial Steiner triple system and a group)
- Affine space
- Projective space