Isomorphisms of cyclic combinatorial objects

✍ Scribed by Neal Brand

• Publisher: Elsevier Science
• Year: 1989
• Tongue: English
• Weight: 784 KB
• Volume: 78
• Category: Article
• ISSN: 0012-365X
• DOI: 10.1016/0012-365x(89)90162-3

✦ Synopsis

Let u = qp' where p is a prime number and p does not divide q. Let 58 and 48' be isomorphic combinatorial objects whose vertex sets is &,, the integers module IJ, and further assume that translations in &, are automorphisms of the objects. Conditions are given which imply that S and 58' must be isomorphic by the composition of a polynomial in Z,, and a map which is a translation when restricted to each of the cosets of Z!,, modulo q.