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Homotopy groups and H-maps

Published online by Cambridge University Press:  20 January 2009

Alain Jeanneret
Alain Jeanneret
Affiliation:
Universität Bern, Mathematisches Institut, Sidlerstrasse 5, CH-3012 Bern
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Abstract

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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

References

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