It is proved that a finite regular nearfield can be obtained by transformation of a field, in the sense of [L.A.Rosati, P.Quattrocchi "Transformations of designs and other incidence structures" Geom Ded. 44, (1992), 167-173] iff it is an André system.
Transformation of multiply transitive permutation sets and finite regular near-fields / Rinaldi, Gloria. - In: PURE MATHEMATICS AND APPLICATIONS. - ISSN 1218-4586. - STAMPA. - 4:(1993), pp. 311-316.
Transformation of multiply transitive permutation sets and finite regular near-fields
RINALDI, Gloria
1993
Abstract
It is proved that a finite regular nearfield can be obtained by transformation of a field, in the sense of [L.A.Rosati, P.Quattrocchi "Transformations of designs and other incidence structures" Geom Ded. 44, (1992), 167-173] iff it is an André system.
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