Characterization of Some Finite Ferrero Pairs

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


Every planar nearring gives rise to a Ferrero pair [2, §4] and isomorphic nearrings yield equivalent Ferrero pairs. From a given Ferrero pair one can construct different (i.e., nonisomorphic) planar nearrings. However, the geometries (cf. [2, §§6, 7]) derived from these nearrings will be isomorphic. The case of 2-designs has been studied in [6] and some sort of a converse turned out to be true, also.


Characteristic Polynomial Prime Divisor Cyclotomic Field Cyclic Case Finite Cyclic Group 
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Copyright information

© Springer Science+Business Media Dordrecht 1995

Authors and Affiliations

  1. 1.Department of MathematicsNational Cheng Kung UniversityTainan 701Taiwan, R. O. C.
  2. 2.Mathematisches InstitutTechnische Universität MünchenMünchenGermany

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