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On the Index of a Symmetric Form

Published online by Cambridge University Press:  20 November 2018

Jonathan Wild
Jonathan Wild*
Affiliation:
Collins Bay,Ontario
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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.

Type
Notes and Problems
Information
Canadian Mathematical Bulletin , Volume 3 , Issue 3 , 01 September 1960 , pp. 293 - 295
Copyright
Copyright © Canadian Mathematical Society 1960