Kummer subspaces of tensor products of cyclic algebras

Chapman, Adam

doi:10.1090/proc/13599

Kummer subspaces of tensor products of cyclic algebras
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by Adam Chapman

Proc. Amer. Math. Soc. 145 (2017), 4247-4253

DOI: https://doi.org/10.1090/proc/13599

Published electronically: April 6, 2017

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Abstract:

We discuss the Kummer subspaces of tensor products of cyclic algebras, focusing mainly on the case of cyclic algebras of degree 3. We present a family of maximal Kummer spaces in any tensor product of cyclic algebras of prime degree, classify all the monomial Kummer spaces in tensor products of cyclic algebras of degree 3, and provide an upper bound for the dimension of Kummer spaces in the generic tensor product of cyclic algebras of degree 3.

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