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Some Results on Relative Difference Sets of Small Size
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Abstracts
SOME RESULTS ON RELATIVE DIFFERENCE SETS OF SMALL SIZE Hai-Ping KO and Stuart WANG Oakland University, Rochester, MI 48063, USA
Abstract
A relative difference set of group G is a subset D of G such that for some integer A and some subgroup H of G, \{(dl, d2): d,, d2E D, d, - d, = g}l= 0 if g E H and = X if g E G \ H. For relative difference sets of small size with A = 1, we extend some results on the multiplier groups and have a discussion on the uniqueness of cyclic planar difference sets and cyclic affine difference sets.
Abstracts
SOME RESULTS ON RELATIVE DIFFERENCE SETS OF SMALL SIZE Hai-Ping KO and Stuart WANG Oakland University, Rochester, MI 48063, USA
Abstract
A relative difference set of group G is a subset D of G such that for some integer A and some subgroup H of G, \{(dl, d2): d,, d2E D, d, - d, = g}l= 0 if g E H and = X if g E G \ H. For relative difference sets of small size with A = 1, we extend some results on the multiplier groups and have a discussion on the uniqueness of cyclic planar difference sets and cyclic affine difference sets.