| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
In view of constructive inverse Galois problem, we studied the rationality problem for fields of invariants under the action of finite groups. The invariant called the unramified Brauer group, which is important for the study of the rationality problem, was completely determined when the order of the group is the fifth power of odd prime p. Even for the unramified cohomology group which is a generalization of the unramified Brauer group, we showed that the non-vanishing of it when the order of the group is the ninth power of odd prime p. We studied Noether's problem and related rationality problems, and got several new results.
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