| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Research Abstract |
In this research we give a sufficient condition on the Galois type for the non-existence of a number field which has a certain inertia property. The number of Galois types up to degree nine is 121, the sufficient condition holds for 58 types, not for 63 types. For the latter 63 types we concretely demonstrate the existence of such number fields by using tables and computer softwares.
In addition we generalize a result which is one of bases for this research. We show the existences of ideals with a certain condition in imaginary quadratic fields.
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