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On Harper's mod pH-space of rank 2

Published online by Cambridge University Press:  14 November 2011

Akira Kono
Akira Kono
Affiliation:
Department of Mathematics, Kyoto University, Kyoto 606, Japan and Department of Mathematical Sciences, University of Aberdeen, The Edward Wright Building, Dunbar Street, Aberdeen AB9 2TY, U.K.
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Synopsis

Let X be Harper's mod pH-space of rank 2. In this paper we determine the Charn character of K*(X) and the stable homotopy type of X.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 118 , Issue 1-2 , 1991 , pp. 75 - 78
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

1Browder, W. and Spanier, E. H.. H-spaces and duality. Pacific J. Math. 12 (1962), 411–414.CrossRefGoogle Scholar
2Cook, G. E. and Smith, L.. Mod p decomposition of co H-spaces and applications. Math. Z. 157 (1977), 155–177.Google Scholar
3Harper, J., H-spaces with torsion. Mem. Amer. Math. Soc. 223 (1979).Google Scholar
4Kono, A. and Kozima, K.. The mod 2 homology of the space of loops on the exceptional Lie groups. Proc. Roy. Soc. Edinburgh Sect. A 112 (1989), 187–202.CrossRefGoogle Scholar
5Lin, J.. Torsion in H-spaces II. Ann. Math. 107 (1978), 41–88.Google Scholar
6Moreno, G.. Spherical classes in the bordism of the Harper's torsion molecule (preprint).Google Scholar
7Oka, S.. Homotopy of the exceptional Lie group G 2. Proc. Edinburgh Math. Soc. 29 (1986), 145–169.CrossRefGoogle Scholar