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Looking for difference sets in D2p × Zq

✍ Scribed by Emily H. Moore; Amanda Walker

Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
111 KB
Volume
8
Category
Article
ISSN
1063-8539

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✦ Synopsis

We consider groups D 2p  Z q , with p and q odd primes, q `p, and for which each prime dividing n has order p À 1 (mod p). If such a group contains a nontrivial difference set, D, our main theorem gives constraints on the parameters of D. This in turn rules out difference sets in some groups of this form. For instance, D 22  Z 3 contains no nontrivial difference set.

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