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Concerning multiplier automorphisms of cyclic Steiner triple systems

โœ Scribed by Charles J. Colbourn; Eric Mendelsohn; Cheryl E. Praeger; Vladimir D. Tonchev


Publisher
Springer
Year
1992
Tongue
English
Weight
715 KB
Volume
2
Category
Article
ISSN
0925-1022

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๐Ÿ“œ SIMILAR VOLUMES


Steiner triple systems with transrotatio
โœ Robert B. Gardner ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 373 KB

A Steiner triple system of order u is said to be k-transrotational if it admits an automorphism consisting of a fixed point, a transposition, and k cycles of length (u-3)/k. Necessary and sufficient conditions are given for the existence of l-and 2-transrotational Steiner triple systems.

Embedding partial Steiner triple systems
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