AWilbrink-Like Equation for Neo-Difference Sets

作者:Cesarz Patrick G*; Coulter Robert S
来源:Annals of Combinatorics, 2018, 22(2): 245-253.
DOI:10.1007/s00026-018-0382-4

摘要

Neo-difference sets arise in the study of projective planes of Lenz-Barlotti types I.3 and I.4. In the course of their proof that an abelian neo-difference set of order 3n satisfies either n = 1 or 3|n, Ghinelli and Jungnickel produce a Wilbrink-like equation for neo-difference sets of order 3n. In this note we generalise that part of their proof to produce a version of this equation that holds for all neo-difference sets.

  • 出版日期2018-6

全文