Overlaps in field generated circular planar nearrings

We investigate circular planar nearrings constructed from finite fields as well the complex number field using a multiplicative subgroup of order \(k\), and characterize the overlaps of the basic graphs which arise in the associated \(2\)-designs.

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Bibliographic Details
Date:2023
Main Authors: Ke, W.-F., Kiechle, H.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2023
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2130
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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Summary:We investigate circular planar nearrings constructed from finite fields as well the complex number field using a multiplicative subgroup of order \(k\), and characterize the overlaps of the basic graphs which arise in the associated \(2\)-designs.