On (p^a,p^b,p^a,p^{a-b})-relative difference sets

• 主要作者: Schmidt, Bernhard
• 其他作者: School of Physical and Mathematical Sciences
• 格式: Article
• 語言: English
• 出版: 2009
• 主題: DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics
• 在線閱讀: https://hdl.handle.net/10356/91551; http://hdl.handle.net/10220/6041
• 機構: Nanyang Technological University

This paper provides new exponent and rank conditions for the existence of abelian relative (p^a,p^b,p^a,p^a-b) -difference sets. It is also shown that no splitting relative (2^2c,2^d,2^2c,2^2c-d)-difference set exists if d > c and the forbidden subgroup is abelian. Furthermore, abelian relative (...