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Composition theorems for difference families and regular planes

✍ Scribed by Dieter Jungnickel

Publisher: Elsevier Science
Year: 1978
Tongue: English
Weight: 865 KB
Volume: 23
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(78)90113-9

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✦ Synopsis

We consider a slight generalization of ordinary difference families that in the case A = 1 corresponds geomewically to a certain class of partial plane!;. We prove two composition theorems that yield the existence of new (ordinary) difference families and thus of new block designs with a point regular abelian automorphism group. * These reds are gsnetalizations of parts of the author's &.:tcsral dissertatic>n [ 7 ] that ha tx>crl prepared under the sup xvision of Prof. H. Lenz at the Freie UII crsitgt Berlin.

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