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Kummer Spaces in Cyclic Algebras of Prime Degree

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 $p+1$.

preprint2015arXivOpen access
Adam ChapmanDavid J. GrynkiewiczEliyahu MatzriLouis H. RowenUzi Vishne
math.RA
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Adam ChapmanDavid J. GrynkiewiczEliyahu MatzriLouis H. RowenUzi Vishne

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