Witt index for Galois Ring valued quadratic forms

Authors:
M. C. LóPez-DíAz;I. F. RúA
Affiliations:
Departamento de Matemáticas, Universidad de Oviedo, c/ Calvo Sotelo, s/n, E-33007 Oviedo, Spain;Departamento de Matemáticas, Universidad de Oviedo, c/ Calvo Sotelo, s/n, E-33007 Oviedo, Spain
Venue:
Finite Fields and Their Applications
Year:
2010

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Abstract

We calculate the Witt index for Galois Ring valued quadratic forms. We obtain such index depending on the invariant that classifies nonsingular Galois Ring valued quadratic forms together with the type of the corresponding bilinear form (alternating or not).