• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Cohomology of groups and BP-theory

Research Project

Project/Area Number 10640059
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Geometry
Research InstitutionIBARAKI UNIVERSITY

Principal Investigator

YAGITA Nobuaki  IBARAKI Univ. Fuc. of Education Prof., 教育学部, 教授 (20130768)

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)
Project Period (FY) 1998 – 1999
Project Status Completed (Fiscal Year 1999)
Budget Amount *help
¥1,300,000 (Direct Cost: ¥1,300,000)
Fiscal Year 1999: ¥600,000 (Direct Cost: ¥600,000)
Fiscal Year 1998: ¥700,000 (Direct Cost: ¥700,000)
KeywordsCohomology / BP-theory / Morava K-theory / 群のコホモロジー
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.

Report

(3 results)
  • 1999 Annual Research Report   Final Research Report Summary
  • 1998 Annual Research Report
  • Research Products

    (24 results)

All Other

All Publications (24 results)

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

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] D.Arletaz: "The mod2 cohomology of linear groups over the ring of intager"Proc.Amer.Math.Soc. 127. 2199-2212 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] N.Yagita: "Localization of the spectral sequence converging to the cohomology of extra special p-group for odd prime P"Osaka J.Math.. 50. 83-116 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] N.Yagita: "On odd degree parts of cohomology of sporadic simple of order p^3"J.Algeha. 201. 373-391 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K.Kudou: "Highly homotopy non-commutativity of Lie groups with 2-torsion"Kyushu J.Math. 53. 133-150 (1999)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K.Kudou: "Modulo odd prime homotopy normality for H-Apaces"J.Math.Kyoto Univ.. 38. 643-651 (1998)

    • Description
      「研究成果報告書概要(和文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] D. Ravenel: "Brown-Peterson cohomology from Morava K-theory"K-theory. 15. 147-199 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] D. Arletaz: "The mad 2 cohomology of the linear groups over the ring of integer"Prof. Amer. Math. 127. 2199-2212 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] N. Yagita: "Localization of the spectral sequence converging to the cohomology of extra special p-group for odd prime p"Osaka J. Math. 50. 83-116 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] 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)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Kudou: "Highly homotopy non-commutatively of die groups with 2-torsions"Kyusyu J. Math. 53. 133-150 (1999)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] K. Kudou: "Modulo odd prime homotopy normality for H-spaces"J. Math. Kyoto Univ.. 38. 643-651 (1998)

    • Description
      「研究成果報告書概要(欧文)」より
    • Related Report
      1999 Final Research Report Summary
  • [Publications] D.Ravenel: "Brown-Peterson cohomology from Morava K-theory"K-theory. 15. 147-199 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] D.Arletaz: "The mod 2 Cohomology of linear groups over the ring of integer"Proc.Amer.Math.Soc. 127. 2199-2212 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] N.Yagita: "Localization of the spectral sequence converging to the cohomology of extra special p-group for odd prime P"Osaka J.Math.. 50. 83-116 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] N.Yagita: "On odd degree ports of cohomology of spoadic single group of order P^3"J.Algeha. 201. 373-391 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Kudou: "Highly homotopy non-consulativity of Lie groups with 2-torois"Kyushn J.Math. 53. 133-150 (1999)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Kudou: "Modulo odd prime homotopy normality for H-Spaces"J.Math Kyoto Univi. 38. 643-651 (1998)

    • Related Report
      1999 Annual Research Report
  • [Publications] K.Kudou: "Modulo odd prime homotopy normality for H-spaces" J.Kyoto Univ.発表予定. (1999)

    • Related Report
      1998 Annual Research Report
  • [Publications] N.Yagita: "Localization of spectral sequence converging to the cohomology" Osaka J.Math. 35. 83-116 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] N.Yagita: "On odd degree parts of cohomology of sporadic sinple groups" J.Algebra. 201. 371-391 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] N.Yagita: "Small subalgeha of Steenrod and Moravia stabilyer algeha" Trans.amer Math.Soc.350. 3021-3041 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] M.Kaneda: "Some generalilis on D-medules in positive characteristic" Pacific J.Math.183. 103-141 (1998)

    • Related Report
      1998 Annual Research Report
  • [Publications] K.Kamiyama: "Homology of the configuration space of quasi-equitals" Trans.Amer.Math.Soc.350. 4869-4896 (1998)

    • Related Report
      1998 Annual Research Report

URL: 

Published: 1998-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi