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math.RA2016
Symbol -Algebras of Prime Degree and their -Central Subspaces
Adam Chapman, Michael Chapman
We prove that the maximal dimension of a -central subspace of the generic symbol -algebra of prime degree is . We do it by proving the following number theoretic fac…
math.RA2016
Symbol Length of -Algebras of Prime Exponent
Adam Chapman
We prove that if the maximal dimension of an anisotropic homogeneous polynomial form of prime degree over a field with is a finite integer gr…