most citedU-Invariants for forms of higher degree

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math.RA2007

A condition for cyclic algebras to be split

S. Pumpluen

A simple sufficient condition for certain cyclic algebras of odd degree d to be split is presented. It employs certain binary forms of degree d and the values they represent. A sim…

math.RA2007

Norm principles for forms of higher degree permitting composition

R. W. Fitzgerald, S. Pumpluen

Let F be a field of characteristic 0 or greater than d. Scharlau's norm principle holds for separable field extensions K over F, for certain forms of degree d over F which perm…