✦ LIBER ✦
Symmetric (79, 27, 9)-designs Admitting a Faithful Action of a Frobenius Group of Order 39
✍ Scribed by Dieter Held; Mario-Osvin Pavcević
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 241 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0195-6698
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✦ Synopsis
In this paper we present the classification of symmetric designs with parameters (79 , 27 , 9) on which a non-abelian group of order 39 acts faithfully . In particular , we show that such a group acts semi-standardly with 7 orbits . Using the method of tactical decompositions , we are able to construct exactly 1320 non-isomorphic designs . The orders of the full automorphism groups of these designs all divide 8 и 3 и 13 .