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math.NT2024
A note on quadratic cyclotomic extensions
Sophie Marques, Elizabeth Mrema
This paper provides two characterizations of the primitive roots of unity in quadratic cyclotomic extensions over arbitrary fields. Firstly, we introduce a mapping from $\mathbb{N}…
math.NT2024
When is a 2-Power Cyclotomic Extension cyclic?
Sophie Marques, Elizabeth Mrema
This paper characterizes the cyclicity property of -power cyclotomic extensions through various means: the structure of the Galois groups, the nature of their subextensions, tow…