Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space with coefficient Zp

Volume: 4 Number: 0 March 19, 2014
EN

Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space with coefficient Zp

Abstract

In this study we give some formulas for the action of the Steenrod Powers on certain monomials and some polynomials having these monomials as a factor in the polynomials algebra P(n) = Zp [x1; : : : ; xn], deg (xi) = 2, i = 1; : : : ; n and p is an odd prime. Also, we give some new family of hit polynomials.

Keywords

References

  1. Steenrod, N.E., Products of cocycles and extensions of mappings, 48 (1947), 290-320.
  2. Steenrod, N.E., Cycles reduced powers of cohomology classes, Proc. Nat. Acad. Sci. U.S.A, 39 (1953), 217-223.
  3. Adams, J. F., On the non-existence of elements of Hopf invariant one, Ann. of Math., 72 (1960), 20-104.
  4. Steenrod, N.E., Whitehead, J.H.C., Vector elds on the n-sphere, Proc.Nat. Acad. Sci. U.S.A., 37 (1951), 58-63.
  5. Adams, J.F., On the structure and applications of the Steenrod algebra, Comm. Math. Helv., 32 (1958), 180-214.
  6. Adem, J., The iteration of Steenrod squares in algebraic topology, Proc. Nat. Acad. Sci. U.S.A, 38 (1952), 720-726.
  7. Cartan, H., Sur les groupes d'Eilenberg-Mac Lane. II, Proc. Nat. Acad. Sci. U.S.A, 40 (1954), 704-707.
  8. Cartan, H., Sur l'itration des oprations de Steenrod, Comment. Math. Helv., 29(1) (1955), 40-58.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Tarkan Öner This is me

Publication Date

March 19, 2014

Submission Date

June 26, 2013

Acceptance Date

-

Published in Issue

Year 2013 Volume: 4 Number: 0

APA
Tanay, B., & Öner, T. (2014). Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space with coefficient Zp. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, 4, 15-26. https://izlik.org/JA87AT52SN
AMA
1.Tanay B, Öner T. Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space with coefficient Zp. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2014;4:15-26. https://izlik.org/JA87AT52SN
Chicago
Tanay, Bekir, and Tarkan Öner. 2014. “Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space With Coefficient Zp”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4 (March): 15-26. https://izlik.org/JA87AT52SN.
EndNote
Tanay B, Öner T (March 1, 2014) Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space with coefficient Zp. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4 15–26.
IEEE
[1]B. Tanay and T. Öner, “Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space with coefficient Zp”, İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 4, pp. 15–26, Mar. 2014, [Online]. Available: https://izlik.org/JA87AT52SN
ISNAD
Tanay, Bekir - Öner, Tarkan. “Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space With Coefficient Zp”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy 4 (March 1, 2014): 15-26. https://izlik.org/JA87AT52SN.
JAMA
1.Tanay B, Öner T. Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space with coefficient Zp. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy. 2014;4:15–26.
MLA
Tanay, Bekir, and Tarkan Öner. “Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space With Coefficient Zp”. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy, vol. 4, Mar. 2014, pp. 15-26, https://izlik.org/JA87AT52SN.
Vancouver
1.Bekir Tanay, Tarkan Öner. Some Formulas of the Action of Steenrod Powers on Cohomology Ring of K(Znp ; 2) Topological Space with coefficient Zp. İstanbul University Science Faculty the Journal of Mathematics Physics and Astronomy [Internet]. 2014 Mar. 1;4:15-26. Available from: https://izlik.org/JA87AT52SN