Kummer Elements in Cyclic Algebras of Degree 5
classification
🧮 math.RA
keywords
elementsdegreekummerchaincyclicalgebraalgebrascase
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.