Hostname: page-component-745bb68f8f-b95js Total loading time: 0 Render date: 2025-01-13T08:27:00.443Z Has data issue: false hasContentIssue false
  • English
  • Français

Steenrod squares of polynomials and the Peterson conjecture

Published online by Cambridge University Press:  24 October 2008

R. M. W. Wood
R. M. W. Wood
Affiliation:
Department of Mathematics, University of Manchester
Get access Rights & Permissions [Opens in a new window]

Extract

We are concerned in this paper with polynomials in n variables xi over the field 2 of two elements. The Steenrod squares Sqk are linear operators which act on the variables by the rules

and on the product uv of homogeneous polynomials u and v by the Cartan formula

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 2 , March 1989 , pp. 307 - 309
Copyright
Copyright © Cambridge Philosophical Society 1989

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]Peterson, F. P.. Generators of H*(RP ∞ ∧ RP ∞) as a module over the Steenrod algebra. Abstracts Amer. Math. Soc. 833–55–89, 04, 1987.Google Scholar
[2]Peterson, F. P.. A-generators for certain polynomial algebras. Math. Proc. Cambridge Philos. Soc. 105 (1989), 311–312.CrossRefGoogle Scholar
[3]Steenrod, N. E. and Epstein, D. B. A.. Cohomology Operations. Annals of Math. Studies no. 50 (Princeton University Press, 1962).Google Scholar