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Asymptotic Nonexistence of Difference Sets in Dihedral Groups

โœ Scribed by Ka Hin Leung; Bernhard Schmidt

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
190 KB
Volume
99
Category
Article
ISSN
0097-3165

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โœฆ Synopsis

We prove that for any primes p 1 ; . . . ; p s there are only finitely many numbers Q s iยผ1 p ai i ; a i 2 Z รพ ; which can be orders of dihedral difference sets. We show that, with the possible exception of n ยผ 540; 225; there is no difference set of order n with 15n410 6 in any dihedral group.

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