Iwasawa theory for Galois extensions of number fields with restricted ramification and its applications
| Project/Area Number |
22740010
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Nagoya Institute of Technology |
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Principal Investigator |
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 代数体 / 岩澤理論 / ガロア群 |
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| Research Abstract |
Galois extensions of number fields with restricted ramification contain a lot of important information in number theory, for example the difficulty of unique prime factorization of higher dimensional integers. We studied the relationship between a related open problem in Iwasawa theory and non幼ommutative structure of the Galois extensions, and we gave new explicit examples. Moreover, we studied an analogous problem in knot theory in order to obtain new evidence of an unsolved conjecture.
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Report
(4 results)
Research Products
(12 results)
