A sharp exponent bound for McFarland difference sets with p=2

• Main Authors: Ma, Siu Lun., Bernhard, Schmidt.
• 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/10356/91549; http://hdl.handle.net/10220/6065

We show that under the self-conjugacy condition a McFarland difference set with p=2 and f≥ in an abelian group G can only exist,if the exponent of the Sylow 2-subgroups does not exceed 4.The method also works for odd p(where the exponent bound is p and is necessary and sufficient),so that we obtain...