✦ LIBER ✦
Embedding partial Steiner triple systems so that their automorphisms extend
✍ Scribed by Peter J. Cameron
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 71 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1063-8539
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✦ Synopsis
It is shown that there is a function g on the natural numbers such that a partial Steiner triple system U on u points can be embedded in a Steiner triple system V on v v v points, in such a way that all automorphisms of U can be extended to V, for every admissible v v v satisfying v v v > gðuÞ. We find exponential upper and lower bounds for g.