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Cohomology operations derived from the symmetric group

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Commentarii Mathematici Helvetici

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Bibliography

  1. J. Adem,The iteration of the Steenrod squares in algebraic topology, Proc. Nat. Acad. Sci. U.S.A.38 (1952) 720–726.

    Article  MathSciNet  Google Scholar 

  2. J. Adem,Relations on iterated reduced powers ibid Proc. Nat. Acad. Sci. U.S.A.39 (1953) 636–638.

    Article  MathSciNet  Google Scholar 

  3. J. Adem,The relations on Steenrod powers of cohomology classes, Algebraic Geometry and Topology (A symposium in honor of S. Lefschetz), Princeton University Press (1956).

  4. H. Cartan,Sur les groupes d'Eilenberg-MacLane H (π, n), Proc. Nat. Acad. Sci. U.S.A.40 (1954) 467–471, 704–707

    Article  MathSciNet  Google Scholar 

  5. H. Cartan,Sur l'itération des opérations de Steenrod, Comment. Math. Helv.29 (1955) 40–58.

    MathSciNet  Google Scholar 

  6. H. Cartan, Seminaire H. Cartan 1954/55, Paris (mimeographed).

  7. B. Eckmann,Cohomology of groups and transfer, Ann. Math.58 (1953) 481–493.

    Article  MathSciNet  Google Scholar 

  8. S. Eilenberg andS. MacLane,Relations between homology and homotopy groups, Proc. Nat. Acad. Sci29 (1943) 155–158; also Ann. Math.46 (1945) 480–509.

    Article  MathSciNet  Google Scholar 

  9. S. Eilenberg andS. MacLane,Cohomology theory in abstract groups I, Ann. Math.48 (1947) 51–78.

    Article  MathSciNet  Google Scholar 

  10. S. Eilenberg andS. MacLane,On the groups H(π, n), Ann. Math.58 (1953) 55–106,60 (1954), 49–139,60 (1954), 513–557.

    Article  MathSciNet  Google Scholar 

  11. H. Hopf,Über die Bettischen Gruppen, die zu einer beliebigen Gruppe gehören, Comment. Math. Helv.17 (1944) 39–79.

    MathSciNet  Google Scholar 

  12. J.-P. Serre,Cohomologie modulo 2 des complexes d'Eilenberg-MacLane ibid27 (1953) 198–231.

    MathSciNet  Google Scholar 

  13. N. E. Steenrod,Reduced powers of cohomology classes, Ann. Math.56 (1952) 47–67.

    Article  MathSciNet  Google Scholar 

  14. N. E. Steenrod,Homology groups of symmetric groups and reduced power operations, Proc. Nat. Acad. Sci. U.S.A.39 (1953) 213–223.

    Article  MathSciNet  Google Scholar 

  15. N. E. Steenrod,The topology of fibre bundles, Princeton Univ. Press 1951.

  16. P. E. Thomas,A generalization of the Pontrijagin square cohomology operation, Proc. Nat. Acad. Sci. U.S.A.,42 (1956) 266–269.

    Article  MathSciNet  Google Scholar 

  17. J. H. C. Whitehead,Simplicial spaces, nuclei and m-groups, Proc. London Math. Soc.45 (1939) 243–327.

    MathSciNet  Google Scholar 

  18. J. H. C. Whitehead,A certain exact sequence Ann. Math.52 (1950) 51–110.

    Article  MathSciNet  Google Scholar 

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Dedicated to H. Hopt

Work supported in part by U.S. Air Force Contract AF 18 (600)-1494.

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Steenrod, N.E. Cohomology operations derived from the symmetric group. Commentarii Mathematici Helvetici 31, 195–218 (1956). https://doi.org/10.1007/BF02564359

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