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.
Publisher
Cambridge University Press (CUP)
Reference13 articles.
1. Implications in Morava K-theory;Kane;Mem. Amer. Math. Soc.,1986
2. On the projective plane of an H-space;Browder;Illinois J. Math.,1963
3. Torsion in H-Spaces II
4. 12. Mimura M. and Toda H. , Topology of Lie groups I and II (Amer. Math. Soc. Translations of Mathematical Monographs, 1991).
5. Vector Fields on Spheres
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. The self homotopy set of a Hopf-space;The Quarterly Journal of Mathematics;1999-12-01