Hostname: page-component-cd9895bd7-gvvz8 Total loading time: 0 Render date: 2024-12-25T04:52:10.754Z Has data issue: false hasContentIssue false
  • English
  • Français

Note on the Jacobi identity for Whitehead products

Published online by Cambridge University Press:  24 October 2008

P. J. Hilton
P. J. Hilton
Affiliation:
University of Birmingham
Get access Rights & Permissions [Opens in a new window]

Extract

The Jacobi identity for Whitehead products,

where α ɛ πl(X), β ɛ πm(M), γ ɛ πn (X), l, m, n ≥ 2 is now well known. In this note we extend the identity to the case l, m, n > 1; the extension is easy and we are merely filling a small gap in the literature. However, the extension does enable us to improve a result in (2).

Type
Research Notes
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 57 , Issue 1 , January 1961 , pp. 180 - 182
Copyright
Copyright © Cambridge Philosophical Society 1961

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

REFERENCES

(1)Hall, M. Jr, Theory of groups (New York, 1959).Google Scholar
(2)Hilton, P. J., On a generalization of nilpotency to semi-simplicial complexes. Proc. Lond. Math. Soc. (3), 10 (1960), 604–22.CrossRefGoogle Scholar
(3)Whitehead, J. H. C., On adding relations to homotopy groups. Ann. Math. 42 (1941), 409–28.CrossRefGoogle Scholar