The Action of the Steenrod Algebra on the Cohomology of -Compact Groups

  • Yutaka Hemmi

    Kochi University, Japan
  • Hirokazu Nishinobu

    Kochi University, Japan
  • Kuniyuki Ogi

    Anritsu Engineering Co., Ltd., Kanagawa, Japan

Abstract

In the present paper, we determine the action of the Steenrod operations on the cohomology of simply connected -compact groups with no -torsion in the integral homologies for an odd prime . To do so we study simple simply connected -compact groups since any simply connected -compact group with no -torsion in the integral homology is a product of such -compact groups.

Cite this article

Yutaka Hemmi, Hirokazu Nishinobu, Kuniyuki Ogi, The Action of the Steenrod Algebra on the Cohomology of -Compact Groups. Publ. Res. Inst. Math. Sci. 44 (2008), no. 4, pp. 1199–1218

DOI 10.2977/PRIMS/1231263784