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Theorems of convex subgroups of semifields and vector spaces over semifields
A triple (K, +, .) is called a semifield if (1) (K, .) is an abelian group with zero 0, (2) (K, +) is a commutative semigroup with identity 0, and (3) for all x, y, z K, x(y+z) = xy+xz. A nonempty subset C={0} is a convex subgroup of K if (1) for all x, y C, y = 0 implies x/y C, and (2) for all x, y C, alpha, beta K, with alpha + beta = 1, alpha x ...openaire +1 more source
Fractional dimension of binary Knuth semifield planes
Journal of Combinatorial Designs, 2012Olga Polverino, Rocco Trombetti
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On symplectic semifield spreads of PG(5,q 2), q odd
Forum Mathematicum, 2018Giuseppe Marino, Valentina Pepe
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On Elations of Derived Semifield Planes
Proceedings of the London Mathematical Society, 1977Johnson, N. L., Rahilly, Alan
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Derived semifield planes with affine elations
Journal of Geometry, 1982Mauro Biliotti, Biliotti Mauro
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Collineation groups of derived semifield planes
Archiv Der Mathematik, 1973N L Johnson, Johnson N L
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A note on the derived semifield planes of order 16
Aequationes Mathematicae, 1977N L Johnson, Johnson N L
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Ovals in commutative semifield planes
Archiv Der Mathematik, 1997Gabor Korchmáros, Korchmáros Gabor
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