1999 Fiscal Year Final Research Report Summary
Cohomology of groups and BP-theory
| Project/Area Number |
10640059
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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 | IBARAKI UNIVERSITY |
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Principal Investigator |
YAGITA Nobuaki IBARAKI Univ. Fuc. of Education Prof., 教育学部, 教授 (20130768)
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| Co-Investigator(Kenkyū-buntansha) |
TEZUKA Michishige Ryukyu Univ. Fac. of Science Prof., 理学部, 教授 (20197784)
KANEDA Masaharu Osaka City Univ. Fac. of Science Prof., 理学部, 教授 (60204575)
KUDOU Kenji IBARAKI Univ. Fuc. of Education Assistant, 教育学部, 助手 (00114017)
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| Project Period (FY) |
1998 – 1999
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| Keywords | Cohomology / BP-theory / Morava K-theory |
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| Research Abstract |
By N. Yagita and American mathematicians, the relations between BP-theory and Morava K-theory are studied. In particular, when K(n)ィイD1*ィエD1(X) is generated by even degree elements, they proved that so is BPィイD1*ィエD1(X). By K. Kudou and N. Yagita, the homotopy non commutativety is studied for exceptional Lie groups.
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