Asymptotic nonexistence of difference sets in dihedral groups

Please use this identifier to cite or link to this item: https://doi.org/10.1006/jcta.2002.3269

Title:	Asymptotic nonexistence of difference sets in dihedral groups
Authors:	Leung, K.H. Schmidt, B.
Issue Date:	2002
Citation:	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
URI:	http://scholarbank.nus.edu.sg/handle/10635/102895
ISSN:	00973165
DOI:	10.1006/jcta.2002.3269
Appears in Collections:	Staff Publications

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