Cohomology of groups and BP-theory

群上同调和 BP 理论

• 批准号: 10640059
• 负责人: YAGITA Nobuaki
• 金额: $ 0.83万
• 依托单位: IBARAKI UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1998
• 资助国家: 日本
• 起止时间: 1998 至 1999
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10640059/
• 关键词: Cohomology; BP-theory; Morava K-theory; 群のコホモロジー

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.

由N. Yagita和美国数学家提出的BP-理论和MoravaK-理论之间的关系。特别地，当K（n）D1* D1（X）由偶数次元素生成时，他们证明了BP D1 * D1（X）也是如此。由K. Kudou和N. Yagita等人提出的特殊李群的同伦非交换性。

项目成果

N. Yagita: "On odd degree parts of cohomology of sporadic simple groups whose p-Sylow subgroup is the extra special p-group of oder PィイD13ィエD1"J. Algeha. 201. 373-391 (1998)

N. Yagita：“关于零星单群的上同调的奇数次部分，其 p-Sylow 子群是 D13 阶的额外特殊 p-群”J. Algeha。201. 373-391 (1998)

N.Yagita: "On odd degree parts of cohomology of sporadic sinple groups" J.Algebra. 201. 371-391 (1998)

N.Yagita：“关于零散单群上同调的奇次部分”J.Algebra。

K. Kudou: "Highly homotopy non-commutatively of die groups with 2-torsions"Kyusyu J. Math. 53. 133-150 (1999)

K. Kudou：“具有 2 挠场的模具群的高度同伦非交换”Kyusyu J. Math。

K.Kamiyama: "Homology of the configuration space of quasi-equitals" Trans.Amer.Math.Soc.350. 4869-4896 (1998)

K.Kamiyama：“拟等价构型空间的同调”Trans.Amer.Math.Soc.350。

D.Ravenel: "Brown-Peterson cohomology from Morava K-Theory"K-Theory. 15. 147-199 (1998)

D.Ravenel：“来自 Morava K 理论的 Brown-Peterson 上同调”K 理论。