Infoscience

Journal article

# Multiple of trace forms and algebras with involution

Let k be a field of characteristic $\neq$ 2, and let G be a finite group. The aim of this article is to give a cohomological criterion for the isomorphism of multiples of trace forms of G-Galois algebras over k. The proof uses results concerning multiples of hermitian forms over division algebras with involution that are of independent interest.