The Action of the Steenrod Algebra on the Cohomology of -Compact Groups
Yutaka Hemmi
Kochi University, JapanHirokazu Nishinobu
Kochi University, JapanKuniyuki Ogi
Anritsu Engineering Co., Ltd., Kanagawa, Japan
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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