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|Title:||Asymptotic nonexistence of difference sets in dihedral groups|
|Authors:||Leung, K.H. |
|Source:||Leung, K.H., Schmidt, B. (2002). Asymptotic nonexistence of difference sets in dihedral groups. Journal of Combinatorial Theory. Series A 99 (2) : 261-280. ScholarBank@NUS Repository. https://doi.org/10.1006/jcta.2002.3269|
|Abstract:||We prove that for any primes p1,...,ps there are only finitely many numbers ∏i=1 s pi αi εo ℤ+, which can be orders of dihedral difference sets. We show that, with the possible exception of n = 540, 225, there is no difference set of order n with 1 < n ≤ 106 in any dihedral group. © 2002 Elsevier Science (USA).|
|Source Title:||Journal of Combinatorial Theory. Series A|
|Appears in Collections:||Staff Publications|
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