منابع مشابه
In a Finite Field
Every finite field of order q(> 3) such that q * 7 (mod 12) and q * 1 (mod 60) contains a pair of consecutive primitive roots.
متن کاملenumerating algebras over a finite field
we obtain the porc formulae for the number of non-associative algebras of dimension 2, 3 and 4 over the finite field gf$(q)$. we also give some asymptotic bounds for the number of algebras of dimension $n$ over gf$(q)$.
متن کاملenumerating algebras over a finite field
we obtain the porc formulae for the number of non-associative algebras of dimension 2, 3 and 4 over the finite field gf$(q)$. we also give some asymptotic bounds for the number of algebras of dimension $n$ over gf$(q)$.
متن کاملPermutations in a Finite Field
For q = 5, this was proved to be true by Betti; for q = 7 the corresponding result was verified by Dickson [l, p. 119]. In this note we show very simply that this result holds for all q. Since the totality of permutation polynomials evidently furnishes a representation of the symmetric group on q letters, it will suffice to show that every transposition (Oa) can be generated by means of the spe...
متن کاملOn Correspondences of a K3 Surface with Itself, I
Let X be a K3 surface with a polarization H of degree H = 2rs, r, s ≥ 1. Assume H · N(X) = Z for the Picard lattice N(X). The moduli space of sheaves over X with the isotropic Mukai vector (r, H, s) is again a K3 surface Y . We prove that Y ∼= X, if there exists h1 ∈ N(X) with (h1) = f(r, s), H · h1 ≡ 0 mod g(r, s), and h1 satisfies some condition of primitivity. These conditions are necessary,...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 1975
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa-27-1-101-123