2016 Fiscal Year Final Research Report
Non-abelian extensions of number fields with restricted ramification
| Project/Area Number |
25400028
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Waseda University |
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Principal Investigator |
Ozaki Manabu 早稲田大学, 理工学術院, 教授 (80287961)
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| Research Collaborator |
MIZUSAWA Yasushi 名古屋工業大学, 准教授
FUJII Satoshi 金沢工業大学, 講師
ITOH Tsuyoshi 千葉工業大学, 准教授
OKANO Keiji 都留文科大学, 講師
TOHKAIRIN Mitsuru 大阪体育大学, 非常勤講師
Maire C. Franche-Comte大学, 教授
Movahhedi A. Limoges大学, 教授
Angles B. Caen大学, 教授
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Keywords | Galois群 / 岩澤理論 / 制限分岐拡大 / 算術的同値 |
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| Outline of Final Research Achievements |
In this research project, we obtain the followoing results: 1.A generalization of the Neukirch-Uchida Theorem to number fields of infinite degree, 2.Criterion of arithmetically equivalence in terms of Iwasawa modules with restricted ramification, 3. Criterion for commutativity of maximal unramified p-extensions
over Z_p-extension fields.
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| Free Research Field |
数論
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