Studies on fusion systems and cohomology of finite groups
| Project/Area Number |
20540001
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Hokkaido University of Education |
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Principal Investigator |
OKUYAMA Tetsuro Hokkaido University of Education, 教育学部, 教授 (60128733)
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| Co-Investigator(Kenkyū-buntansha) |
HASEGAWA Izumi 北海道教育大学, 教育学部, 教授 (50002473)
KITAYAMA Masashi 北海道教育大学, 教育学部, 教授 (80169888)
YATSUI Tomoaki 北海道教育大学, 教育学部, 准教授 (00261371)
IAI ShinーIchiro 北海道教育大学, 教育学部, 准教授 (50333125)
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| Co-Investigator(Renkei-kenkyūsha) |
SASAKI Hiroki 信州大学, 全学教育機構, 教授 (60142684)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 群の表現論 / 群のコホモロジー / ブロックの導来同値 / 有限群の表現論 |
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| Research Abstract |
In the research of this project, we studied the conjecture of Broue which is one of main problems in representation theory of finite groups. Theory of fusion systems and cohomology of finite groups is our main tool for investigations. We obtained some results concerning p-permutaion modules and their Brauer construction. And we had some derived equivalent blocks which gives an evidence for the conjecture.
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Report
(4 results)
Research Products
(16 results)
