Unramified Heisenberg group extensions of number fields

Frauke M Bleher; Ted Chinburg; Jean Gillibert

doi:10.1007/s11856-021-2260-8

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Unramified Heisenberg group extensions of number fields

Journal article

Peer reviewed

Unramified Heisenberg group extensions of number fields

Frauke M Bleher, Ted Chinburg and Jean Gillibert

Israel journal of mathematics, Vol.247, pp.233-249

12/10/2021

DOI: 10.1007/s11856-021-2260-8

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https://arxiv.org/pdf/1912.03019View

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Abstract

We construct etale 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.

Mathematics

Physical Sciences

Science & Technology

Details

Title: Subtitle: Unramified Heisenberg group extensions of number fields
Creators: Frauke M Bleher - University of Iowa
Ted Chinburg - University of Pennsylvania
Jean Gillibert - Centre National de la Recherche Scientifique
Resource Type: Journal article
Publication Details: Israel journal of mathematics, Vol.247, pp.233-249
DOI: 10.1007/s11856-021-2260-8
ISSN: 0021-2172
eISSN: 1565-8511
Publisher: HEBREW UNIV MAGNES PRESS
Number of pages: 17
Grant note: DMS-1360767 / NSF FRG Grant; National Science Foundation (NSF) CNS-1513671; CNS-1701785 / NSF SaTC grants DMS-1801328 / NSF; National Science Foundation (NSF)
Language: English
Date published: 12/10/2021
Academic Unit: Mathematics
Record Identifier: 9984241051802771

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