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Constructing
unramified extensions over quadratic fields
Misato Aoki and Masanari Kida
Vol. 15 (2022), No. 1, 55–68
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Abstract |
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Using some regular polynomials with prescribed Galois groups, we construct explicit infinite families of unramified extensions over quadratic fields by specializations satisfying certain congruence conditions. |
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Keywords
unramified extension, quadratic field, regular extension
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Mathematical Subject Classification 2010
Primary: 12F12, 11R09, 11R32
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Milestones
Received: 15 March 2020
Revised: 2 April 2021
Accepted: 9 August 2021
Published: 14 March 2022
Communicated by Filip Saidak
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Authors |
| Misato Aoki | |
| Tokyo University of Science Tokyo Japan |
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| Masanari Kida | |
| Department of Mathematics, Faculty
of Science Division I Tokyo University of Science Tokyo Japan |
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