All difference family structures arise from groups

• Published in: Algebra and Discrete Mathematics
• Date: 2009
• ISSN: 1726-3255
• Main Author: Boykett, T.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/153380
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: All difference family structures arise from groups / T. Boykett // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 1. — С. 20–31. — Бібліогр.: 17 назв. — англ.

Planar nearrings have been used to define classes of 2-designs since Ferrero's work in 1970. These 2-designs are a class of difference families. Recent work from Pianta has generalised Ferrero and Clay's work with planar nearrings to investigate planar nearrings with nonassociative additiv...