Bibliography
J. Adem,The iteration of the Steenrod squares in algebraic topology, Proc. Nat. Acad. Sci. U.S.A.38 (1952) 720–726.
J. Adem,Relations on iterated reduced powers ibid Proc. Nat. Acad. Sci. U.S.A.39 (1953) 636–638.
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).
H. Cartan,Sur les groupes d'Eilenberg-MacLane H (π, n), Proc. Nat. Acad. Sci. U.S.A.40 (1954) 467–471, 704–707
H. Cartan,Sur l'itération des opérations de Steenrod, Comment. Math. Helv.29 (1955) 40–58.
H. Cartan, Seminaire H. Cartan 1954/55, Paris (mimeographed).
B. Eckmann,Cohomology of groups and transfer, Ann. Math.58 (1953) 481–493.
S. Eilenberg andS. MacLane,Relations between homology and homotopy groups, Proc. Nat. Acad. Sci29 (1943) 155–158; also Ann. Math.46 (1945) 480–509.
S. Eilenberg andS. MacLane,Cohomology theory in abstract groups I, Ann. Math.48 (1947) 51–78.
S. Eilenberg andS. MacLane,On the groups H(π, n), Ann. Math.58 (1953) 55–106,60 (1954), 49–139,60 (1954), 513–557.
H. Hopf,Über die Bettischen Gruppen, die zu einer beliebigen Gruppe gehören, Comment. Math. Helv.17 (1944) 39–79.
J.-P. Serre,Cohomologie modulo 2 des complexes d'Eilenberg-MacLane ibid27 (1953) 198–231.
N. E. Steenrod,Reduced powers of cohomology classes, Ann. Math.56 (1952) 47–67.
N. E. Steenrod,Homology groups of symmetric groups and reduced power operations, Proc. Nat. Acad. Sci. U.S.A.39 (1953) 213–223.
N. E. Steenrod,The topology of fibre bundles, Princeton Univ. Press 1951.
P. E. Thomas,A generalization of the Pontrijagin square cohomology operation, Proc. Nat. Acad. Sci. U.S.A.,42 (1956) 266–269.
J. H. C. Whitehead,Simplicial spaces, nuclei and m-groups, Proc. London Math. Soc.45 (1939) 243–327.
J. H. C. Whitehead,A certain exact sequence Ann. Math.52 (1950) 51–110.
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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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DOI: https://doi.org/10.1007/BF02564359