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On the intersection of two S(3, 4, 2υ) having a same derived triple system

✍ Scribed by Gaetano Quattrocchi

Publisher: Elsevier Science
Year: 1990
Tongue: English
Weight: 538 KB
Volume: 82
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(90)90205-v

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✦ Synopsis

Let If(v) be the set of a11 k such that there exists a pair of Steiner systems S (3, 4, v), the quadruples in one system containing a particular point are the same as those in the other system containing that point, and the two systems have otherwise exactly k quadruples in common. Let Z/(u) = (0, 1, , f, -14, f, -12, f, -8, f,}, f, = (v -l)(v -2)(v -4)/24. It is known [13] that J/(20) = Zr(20) and ZZ( 16) -( 16) sJZ(l6).

We prove here that .Zr(2u) = ZZ(2v) for all admissible u > 14.

* Research supported by MPI.

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