2009 Fiscal Year Final Research Report
Cohomology of finite Chevalley groups
| Project/Area Number |
19540105
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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 |
Geometry
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| Research Institution | Toyama University of International Studies |
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Principal Investigator |
KAMEKO Masaki Toyama University of International Studies, 現代社会学部, 教授 (50270343)
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| Co-Investigator(Kenkyū-buntansha) |
YAGITA Nobuaki 茨城大学, 教育学部, 教授 (20130768)
MIMURA Mamoru 岡山大学, 名誉教授 (70026772)
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| Project Period (FY) |
2007 – 2009
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| Keywords | 位相幾何 |
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| Research Abstract |
Finite Chevalley groups appear in many academic disciplines. We investigated the cohomology of finite Chevalley groups and free loop spaces of classifying spaces of Lie groups from the viewpoint of algebraic topology. We computed the cohomology, including Brown-Peterson cohomology and Morava K-theories, for several finite Chevalley groups, classifying spaces of Lie groups and free loop spaces of classifying spaces of Lie groups. We also computed related spectral sequences.
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