English

Construction of a finite Dickson nearfield

Number Theory 2023-05-12 v1 Rings and Algebras

Abstract

For a Dickson pair (q,n)(q,n) we show that {qk1q1,1k<n} \big \lbrace \frac{q^k-1}{q-1}, 1 \leq k < n \big \rbrace forms a finite complete set of different residues modulo nn. We also study the construction of a finite Dickson nearfield that arises from Dickson pair (q,n)(q,n).

Keywords

Cite

@article{arxiv.2305.06653,
  title  = {Construction of a finite Dickson nearfield},
  author = {Prudence Djagba},
  journal= {arXiv preprint arXiv:2305.06653},
  year   = {2023}
}