Kummer Elements in Cyclic Algebras of Degree 5
Rings and Algebras
2014-07-11 v1
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.
Keywords
Cite
@article{arxiv.1407.2770,
title = {Kummer Elements in Cyclic Algebras of Degree 5},
author = {Adam Chapman},
journal= {arXiv preprint arXiv:1407.2770},
year = {2014}
}