Geodesic
Localizations of Linked Quaternionic Mappings
Canadian journal of mathematics, Tome 34 (1982) no. 1, pp. 247-256

Voir la notice de l'article provenant de la source Cambridge University Press

Let G and B be abelian groups with G having exponent 2 and a distinguished element –1. In [7] we defined a linked quaternionic mapping to be a map q : G × G → B satisfying the following properties: (A) q is symmetric and bilinear (B) q(a, a) = q(a, – 1) for every a ∈ G, and (L) q(a, b) = q(c, d) implies there exists x ∈ G such that q(a, b) = q(a, x) and q(c, d) = q(c, x).A form (of dimension n over q) is a symbol φ = 〈a 1, ..., an 〉 with a 1, ..., an ∈ G. The determinant and Hasse invariant of such a form φ are 
Yucas, Joseph. Localizations of Linked Quaternionic Mappings. Canadian journal of mathematics, Tome 34 (1982) no. 1, pp. 247-256. doi: 10.4153/CJM-1982-017-2
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