When is a 2-Power Cyclotomic Extension cyclic?
Number Theory
2024-07-25 v2
Abstract
This paper characterizes the cyclicity property of -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.
Cite
@article{arxiv.2308.08865,
title = {When is a 2-Power Cyclotomic Extension cyclic?},
author = {Sophie Marques and Elizabeth Mrema},
journal= {arXiv preprint arXiv:2308.08865},
year = {2024}
}