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A note on difference sets in dihedral groups

✍ Scribed by Yingpu Deng


Publisher
Springer
Year
2004
Tongue
English
Weight
63 KB
Volume
82
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES


Difference sets in dihedral groups
✍ Ka Hin Leung; Siu Lun Ma; Yan Loi Wong πŸ“‚ Article πŸ“… 1991 πŸ› Springer 🌐 English βš– 221 KB

~ study the existence of nontrivial (2m, k, X )-difference sets in dihedral groups. Some nonexistence results are proved. In particular, we show that n = k -3, is odd and Β’(n)/n < 112. Finally, a computer search shows that, except 5 undecided cases, no nontrivial difference set exists in dihedral gr

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✍ Ka Hin Leung; Bernhard Schmidt πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 190 KB

We prove that for any primes p 1 ; . . . ; p s there are only finitely many numbers Q s iΒΌ1 p ai i ; a i 2 Z ΓΎ ; which can be orders of dihedral difference sets. We show that, with the possible exception of n ΒΌ 540; 225; there is no difference set of order n with 15n410 6 in any dihedral group.

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✍ Hikoe Enomoto; Mariko Hagita; Makoto Matsumoto πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 234 KB

Let D be a (v, k, \*)-difference set in a group G. Assume that G has a normal subgroup N such that GΓ‚N is cyclic or nearly cyclic. Under the self-conjugacy assumption on exp(GΓ‚N), we shall give bounds on |N| and \*. The theorem is applicable to a wider variety of parameters for groups, not necessari

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✍ H.A Wilbrink πŸ“‚ Article πŸ“… 1985 πŸ› Elsevier Science 🌐 English βš– 101 KB