| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
I studied representation spaces induced by smooth actions on manifolds of finite groups. In particular, I studied finite group smooth actions on spheres. The Smith problem, whether tangential representation spaces over fixed points of a sphere with just two fixed points are isomorphic?, is fundamental one for transformation group theory. I determinied the Smith set which consists of the differences of tangential representative spaces over such a sphere for some class of finite groups. I also gave a sufficient and necessary condition for a finite group to be a gap group by viewing centralizers and normalizers.
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