Extensions with Galois group Hol(C8) unramified over a complex quadratic number field
Number Theory
2025-04-01 v1
Abstract
We study normal extensions with Galois group Hol() that are unramified over a complex quadratic subfield. The Galois group is either the semi-dihedral group or the modular group of order . We present an explicit construction of such fields.
Keywords
Cite
@article{arxiv.2503.23027,
title = {Extensions with Galois group Hol(C8) unramified over a complex quadratic number field},
author = {Elliot Benjamin and Franz Lemmermeyer and Chip Snyder},
journal= {arXiv preprint arXiv:2503.23027},
year = {2025}
}
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17 pages