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Homotopy groups and H-maps
Published online by Cambridge University Press: 20 January 2009
Abstract
The first nonvanishing homotopy group of a finite H-space X whose mod 2 homology ring is associative occurs in degrees 1, 3 or 7. Generators of these groups can be represented by maps α:Sn→X for n = 1, 3 or 7. In this note we prove that under some hypothesis on X there exists an H-structure on Sn, n = 1, 3 or 7 such that α is an H-map.
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 38 , Issue 3 , October 1995 , pp. 465 - 473
- Copyright
- Copyright © Edinburgh Mathematical Society 1995