All difference family structures arise from groups

• Datum: 2018
• 1. Verfasser: Boykett, Tim
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2018
• Schlagworte: Algebras; 2-design; difference family; nonassociative
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/766
• Назва журналу: Algebra and Discrete Mathematics

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...