Prudence Djagba - Department of Mathematics, Nelson Mandela University, South Africa

For a Dickson pair (q,n) we show that   \big \lbrace  \frac{q^k-۱}{q-۱}, ۱ \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).

nearring, Dickson pair, Residues