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On Strong Isotopy of Dickson Semifields and Geometric Implications

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Abstract

Similarity of certain abelian collineation groups of a translation plane corresponds to strong isotopy of multiplication variations of a commutative semifield. Strong isotopy of Dickson semifields and their multiplication variations is characterized. The splitting of the isotopy class of a Dickson semifield over different types of basic fields (e. g. absolutely algebraic fields, number fields) into classes of strong isotopy is investigated. **

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Authors and Affiliations

  1. Konrad-Zuse-Zentrum für Informationstechnik Berlin (ZIB), Takustr. 7, D-14195, Berlin

    Bianca Spille & Irene Pieper-scier

Authors
  1. Bianca Spille
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  2. Irene Pieper-scier
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Correspondence to Bianca Spille.

Additional information

This paper contains some of the main results of the Diplom thesis of this author.

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Spille, B., Pieper-scier, I. On Strong Isotopy of Dickson Semifields and Geometric Implications. Results. Math. 33, 364–373 (1998). https://doi.org/10.1007/BF03322095

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  • DOI: https://doi.org/10.1007/BF03322095

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