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arXiv · 1407.2770

Kummer Elements in Cyclic Algebras of Degree 5

Adam Chapman
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Abstract

We construct a graph of Kummer elements in a given cyclic algebra of prime degree and study its properties. In case of degree 5, we provide sufficient conditions for two elements to have a chain of Kummer elements connecting them, such that the multiplicative commutator of any two consecutive elements in the chain is a root of unity.

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Adam Chapman. 2014-07-10. Kummer Elements in Cyclic Algebras of Degree 5. https://arxiv.org/abs/1407.2770

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