| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
For the subject "Broue's conjecture", we have been able to prove the following. First of all, we proved Broue's conjecture for the sproradic simple Conway group Co3 completely. Then, we prove Broue's conjecture of character version for an arbitrary block with elementary abelian defect group of order 8. This was the first improvement after Brauer did 35 years ago. Further, we proved Broue's conjecture for the sporadic Janko simple group J4 more precisely. We proved Broue's conjecture also for the double cover 2HS of the sporadic Higman-Sims simple group HS. Finally we proved Broue's conjecture for the sporadic Conway simple group Co1, and as a byproduct we could determine the 3-decomposition numbers for Co1 in part.
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