On the Index of a Symmetric Form
Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 293-295

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Let E be a finite dimensional vector space over a finite field of characteristic p > 0; dim E = n. Let (x,y) be a symmetric bilinear form in E. The radical Eo of this form is the subspace consisting of all the vectors x which satisfy (x,y) = 0 for every y ε E. The rank r of our form is the codimension of the radical.
Wild, Jonathan. On the Index of a Symmetric Form. Canadian mathematical bulletin, Tome 3 (1960) no. 3, pp. 293-295. doi: 10.4153/CMB-1960-036-x
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