Abstract
We construct étale generalized Heisenberg group covers of hyperelliptic curves over number fields. We use these to produce infinite families of quadratic extensions of cyclotomic fields that admit everywhere unramified generalized Heisenberg Galois extensions.
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The first author was supported in part by NSF Grant No. DMS-1801328.
The second author is the corresponding author. He was supported in part by NSF FRG Grant No. DMS-1360767, NSF SaTC grants No. CNS-1513671 and No. CNS-1701785.
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Bleher, F.M., Chinburg, T. & Gillibert, J. Unramified Heisenberg group extensions of number fields. Isr. J. Math. 247, 233–249 (2022). https://doi.org/10.1007/s11856-021-2260-8
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DOI: https://doi.org/10.1007/s11856-021-2260-8