Kummer Spaces in Cyclic Algebras of Prime Degree

Published 22 Oct 2014 in math.RA | (1410.6136v2)

Abstract: We classify the monomial Kummer subspaces of division cyclic algebras of prime degree $p$, showing that every such space is standard, and in particular the dimension is no greater than $p+1$. It follows that in a generic cyclic algebra, the dimension of any Kummer subspace is at most $p+1$.

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