2012 Fiscal Year Final Research Report
Galois groups of unramified extensions over maximal cyclotomic fields
| Project/Area Number |
22540019
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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 | Kyoto Institute of Technology |
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Principal Investigator |
ASADA Mamoru 京都工芸繊維大学, 工芸科学研究科, 教授 (30192462)
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| Project Period (FY) |
2010 – 2012
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| Keywords | 代数学 |
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| Research Abstract |
Let K be the field obtained by adjoining all roots of unity to the rationals. We have strengthened our previous result on unramified Galois extensions of K having non-solvable Galois groups. The result is as follows. There exists an unramified Galois extension of K having the direct product of countable number of copies of SL2(Zp) as the Galois group, p being any prime greater than 3.
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