Hostname: page-component-84b7d79bbc-l82ql Total loading time: 0 Render date: 2024-07-28T10:07:06.155Z Has data issue: false hasContentIssue false

On Harper's mod pH-space of rank 2

Published online by Cambridge University Press:  14 November 2011

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.

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
Copyright
Copyright © Royal Society of Edinburgh 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1Browder, W. and Spanier, E. H.. H-spaces and duality. Pacific J. Math. 12 (1962), 411414.CrossRefGoogle Scholar
2Cook, G. E. and Smith, L.. Mod p decomposition of co H-spaces and applications. Math. Z. 157 (1977), 155177.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), 187202.CrossRefGoogle Scholar
5Lin, J.. Torsion in H-spaces II. Ann. Math. 107 (1978), 4188.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), 145169.CrossRefGoogle Scholar