On Relative Difference Sets in Dihedral Groups

• Main Authors: Garciano, Agnes, Hiramine, Yutaka, Yokonuma, Takeo
• Format: text
• Published: Archīum Ateneo 2006
• Subjects: relative difference sets; dihedral groups; affine type; Mathematics
• Online Access: https://archium.ateneo.edu/mathematics-faculty-pubs/90; https://link.springer.com/article/10.1007%2Fs10623-005-2399-z
• Institution: Ateneo De Manila University

In this paper, we study extensions of trivial difference sets in dihedral groups. Such relative difference sets have parameters of the form (uλ,u,uλ, λ) or (uλ+2,u, uλ+1, λ) and are called semiregular or affine type, respectively. We show that there exists no nontrivial relative difference set of af...