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arXiv · 2503.23027

Extensions with Galois group Hol(C8) unramified over a complex quadratic number field

Elliot Benjamin·Franz Lemmermeyer·Chip Snyder
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Abstract

We study normal extensions with Galois group Hol($C_8$) that are unramified over a complex quadratic subfield. The Galois group is either the semi-dihedral group or the modular group of order $16$. We present an explicit construction of such fields.

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Elliot Benjamin, Franz Lemmermeyer, Chip Snyder. 2025-03-29. Extensions with Galois group Hol(C8) unramified over a complex quadratic number field. https://arxiv.org/abs/2503.23027

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