Construction of a finite Dickson nearfield

Djagba, Prudence

doi:10.22075/ijnaa.2023.30795.4495

Construction of a finite Dickson nearfield

Document Type : Research Paper

Author

Prudence Djagba

Department of Mathematics, Nelson Mandela University, South Africa

10.22075/ijnaa.2023.30795.4495

Abstract

For a Dickson pair $(q,n)$ we show that $ \big \lbrace \frac{q^k-1}{q-1}, 1 \leq k \leq n \big \rbrace $ forms a finite complete set of different residues modulo $n$. We also study the construction of a finite Dickson nearfield that arises from the Dickson pair $(q,n)$.

Keywords

References

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