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Characterization of Some Finite Ferrero Pairs

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

Abstract

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.

Keywords

Characteristic Polynomial Prime Divisor Cyclotomic Field Cyclic Case Finite Cyclic Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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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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