The first part of this paper is a discussion of autotopism groups of certain translation planes. The second part shows that there is a certain class of semifields of order
having nuclei of order
, and their translation planes are not desarguesian and not isomorphic to generalized twisted field planes.
, Semifields with free automorphism groups, to appear in
, The autotomorphism group of a semifield of order
Communications in Algebra
Albert, A. A.
, Generalized twisted fields,
Pacific J. Math.
Albert A. A., 'Generalized twisted fields' (1961) 11Pacific J. Math.: 1-8.
Albert A. A.Generalized twisted fieldsPacific J. Math.19611118)| false
, A class of semifields of order
Journal of Geometry
(1986), no. 2, 112–118.
and Figueroa, R.
, Transitive autotopism groups and the generalized twisted field planes, Mostely Finite Geometries,
Lecture Notes in Pure App. Math.
, 190, Dekker, New York, 1996, pp. 191–196.
Figueroa R., '', in Transitive autotopism groups and the generalized twisted field planes, Mostely Finite Geometries, (1996) -.
Figueroa R.Transitive autotopism groups and the generalized twisted field planes, Mostely Finite Geometries1996)| false
, Springer, 1968.
, On shears of translation planes,
Abh. Math. Sem. Univ. Hamburg
Hering Ch., 'On shears of translation planes' (1972) 37Abh. Math. Sem. Univ. Hamburg: 258-268.
Hering Ch.On shears of translation planesAbh. Math. Sem. Univ. Hamburg197237258268)| false