Selected Topics on Ternary Forms and Norms |
Contents
H Zassenhaus Gauss theory of ternary quadratic forms an example of | |
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Common terms and phrases
A₁ abelian assume Aut(f automorph b₁ b₂ bilinear binary form characteristic polynomial circle groups class field theory class group coefficients commutative conic conjugate contains corresponding cyclic algebras D-decomposition D₁ D₂ dedekind defined degenerate form degree denote determinant discriminant elements equation equivalence class f₁ factor finite primes follows form f fundamental region Gauss H₂ Hence ideal class ideal class group inequalities int(K integral matrix invariant isomorphism K₁ k₂ Kronecker Kronecker product L₁ Lemma linear M₁ M₂ mapping module multiplication n-ary form nondegenerate obtained orthogonal P₁ primitive zero presentation Proof quadratic form quaternions rational integers rationally equivallent reduced basis represents zero rows S₁ S₂ square square free subgroup of SL(2 submodule symmetric matrix ternary form Theorem transforming trivial unimodular matrix unramified V₁ X₁ Z-basis z₁ Zassenhaus