2012 Fiscal Year Final Research Report
Research on the structure of Iwasawa modules for p-adic representations
| Project/Area Number |
21540018
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Hiroshima University |
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Principal Investigator |
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| Project Period (FY) |
2009 – 2012
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| Keywords | 岩澤加群 / イデアル類群 / Greenberg 予想 / 円単数 / ガウス和 / 岩澤不変量 |
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| Research Abstract |
In this research, we investigated concrete structure of Iwasawa modules for p-adic representations by systematic use of specialelements. We especially noticed large Iwasawa lambda or nu invariants. We computed these invariants of the rational number field and 122 quadratic fields with the discriminant D
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