| Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
We showed that there is a relation between the unit element of the generalized Burnside ring of a symmetric group relative to the Young subgroups, the reduced Lefschetz module and the tom Dieck homomorphism. More precisely, we characterized a non-identity unit of the generalized Burnside ring of a symmetric group relative to the Young subgroups in terms of the tom Dieck homomorphism. Consequently, we have shown that the unit group of the ring is included in the image by the tom Dieck homomorphism. We have submitted to a paper of the result to a journal of mathematics.
We showed that the rank of the unit group of the generalized Burnside ring of a dihedral group relative to the parabolic subgroups is two. We have submitted to a paper of the result to a journal of mathematics.
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