✦ LIBER ✦

Embedding partial extended triple systems and totally symmetric quasigroups

✍ Scribed by M.E. Raines; C.A. Rodger

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 667 KB
Volume: 176
Category: Article
ISSN: 0012-365X
DOI: 10.1016/s0012-365x(96)00297-x

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we show that any partial extended triple system (partial totally symmetric quasigroup) of order n can be embedded in a totally symmetric quasigroup of order v, v >~4n +6, v -= 2(mod4). This bound can be lowered to 4n + 2 in most cases.

📜 SIMILAR VOLUMES

Embedding partial Steiner triple systems

Embedding partial Steiner triple systems so that their automorphisms extend

✍ Peter J. Cameron 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 71 KB

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 f

Small embeddings of partial directed tri

Small embeddings of partial directed triple systems and partial triple systems with even λ

✍ Charles J Colbourn; Rose C Hamm; C.A Rodger 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 375 KB