On Planar Local Nearrings and Bacon Spreads

Part of the Mathematics and Its Applications book series (MAIA, volume 336)


The notion of a planar local nearring is introduced and it is shown, that a planar local nearring N is abelian and gives rise to a certain partial group cover on N × N, called a Bacon spread. Conversely, fixing two normal cover groups {X, Y} with T = X + Y, one can define on a Bacon spread Τ a certain centralizer nearring N Τ(X,Y), called the nucleus, which is a local nearring. Further N Τ(X,Y) is planar and coordinatizes Τ, if it acts transitively on some group of the cover.


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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  1. 1.Fachbereich MathematikTechnische Hochschule DarmstadtDarmstadtGermany

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