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

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

来源:Arxiv_logoArxiv
英文摘要

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.

Elliot Benjamin、Franz Lemmermeyer、Chip Snyder

数学

Elliot Benjamin,Franz Lemmermeyer,Chip Snyder.Extensions with Galois group Hol(C8) unramified over a complex quadratic number field[EB/OL].(2025-03-29)[2025-05-06].https://arxiv.org/abs/2503.23027.点此复制

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