✦ LIBER ✦

On the Bays-Lambossy theorem

✍ Scribed by Neal Brand

Publisher: Elsevier Science
Year: 1989
Tongue: English
Weight: 488 KB
Volume: 78
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(89)90179-9

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✦ Synopsis

The Bays-Lambossy Theorem states that if p is a prime then any pair of cyclic isomorphic t -(p, k, ;2) designs are isomorphic by a multiplier map. For each prime, p = l(6), and n 3 2 this paper gives examples of cyclic 2 -(p", 3, 1) designs (or Steiner triple systems) which are isomorphic but not isomorphic by any multiplier. These examples show that any generalization of the Bays-Lambossy theorem for the stated parameters would have to involve more than just multiplier maps.

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