Trace forms of symbol algebras (Pre-published version)

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World Scientific Publishing Complany

Abstract

Let S be a symbol algebra. The trace form of S is computed and it is shown how this form can be used to determine whether S is a division algebra or not. In addition, the exterior powers of the trace form of S are computed.

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Citation

Flatley, R. (2012), 'Trace froms of Symbol Algebras', Algebra Colloquium, Vol. 19, No. spec01, pp1117-1124.