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The unit signature
rank deficiency is unbounded over cyclotomic fields
David S. Dummit and Hershy Kisilevsky |
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Vol. 314 (2021), No. 2, 259–267
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Abstract |
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We prove that the rank of the elementary abelian 2-group of totally positive units modulo the squares of all units in totally real cyclotomic fields can be arbitrarily large. |
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Keywords
cyclotomic fields, unit signature rank
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Mathematical Subject Classification
Primary: 11R27
Secondary: 11R16, 11R18, 11R29, 11R80
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Milestones
Received: 29 September 2020
Revised: 3 September 2021
Accepted: 6 September 2021
Published: 10 November 2021
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Authors |
| David S. Dummit | |
| Department of Mathematics University of Vermont Burlington, VT United States |
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| Hershy Kisilevsky | |
| Department of Mathematics and
Statistics and CICMA Concordia University Montréal, Quebec Canada |
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