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Embedding partial triple systems

โœ Scribed by C.A Rodger; S.J Stubbs

Book ID
107885055
Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
696 KB
Volume
44
Category
Article
ISSN
0097-3165

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๐Ÿ“œ SIMILAR VOLUMES

Embedding partial extended triple system
Embedding partial extended triple systems and totally symmetric quasigroups
โœ M.E. Raines; C.A. Rodger ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 667 KB

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.

Embedding partial Steiner triple systems
Embedding partial Steiner triple systems so that their automorphisms extend
โœ Peter J. Cameron ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 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 > gรฐuรž. We f