On the nonexistence of semi-regular relative difference sets

• Main Authors: Leung, Ka Hin, Schmidt, Bernhard, Zhang, Tao
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2023
• Subjects: Science::Mathematics; Group Ring; Weil Number
• Online Access: https://hdl.handle.net/10356/170341
• Institution: Nanyang Technological University

In this paper, we study semi-regular relative difference sets. We give some nonexistence results on abelian (mn,n,mn,m) relative difference sets. In particular, we focus on the case when m is prime and show that, for any fixed integer n≥2, there are at most finitely many primes p for which an abelia...