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arXiv · 2308.08865

When is a 2-Power Cyclotomic Extension cyclic?

Sophie Marques·Elizabeth Mrema
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Abstract

This paper characterizes the cyclicity property of $2$-power cyclotomic extensions through various means: the structure of the Galois groups, the nature of their subextensions, tower decompositions, and, most importantly, specific conditions on the base field.

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Sophie Marques, Elizabeth Mrema. 2023-08-17. When is a 2-Power Cyclotomic Extension cyclic?. https://arxiv.org/abs/2308.08865

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