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Explicit computations in
Iwasawa theory
Reinier Bröker, David Hubbard and Lawrence C. Washington |
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Vol. 2 (2019), No. 1, 137–153
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Abstract |
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We give two algorithms to compute layers of the anticyclotomic -extension of an imaginary quadratic field. The first is based on complex multiplication techniques for nonmaximal orders; the second is based on Kummer theory. As an illustration of our results, we use the mirroring principle to derive results on the structure of class groups of nonmaximal orders. |
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Keywords
anticyclotomic, Iwasawa theory, nonmaximal order
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Mathematical Subject Classification 2010
Primary: 11R23
Secondary: 14K22
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Supplementary material |
Milestones
Received: 19 February 2018
Revised: 9 September 2018
Accepted: 10 September 2018
Published: 13 February 2019
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Authors |
| Reinier Bröker | |
| Center for Communications
Research Princeton, NJ United States |
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| David Hubbard | |
| Hamilton, NJ United States |
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| Lawrence C. Washington | |
| Department of Mathematics University of Maryland College Park, MD United States |
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