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The primitive elements in MU K (Z/p, 1). (English) Zbl 0322.55032

55S25 \(K\)-theory operations and generalized cohomology operations in algebraic topology
55N20 Generalized (extraordinary) homology and cohomology theories in algebraic topology
55P20 Eilenberg-Mac Lane spaces
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[1] Adams, J. F.: Lectures on generalised cohomology. In: Category Theory, Homology Theory and their Applications III (Seattle 1968) pp. 1-138. Lecture Notes in Mathematics, No. 99. Berlin-Heidelberg-New York: Springer 1969
[2] Adams, J. F.: Stable Homotopy and Generalised Homology. Chicago Lectures in Mathematics. University of Chicago Press, Chicago, 1974 (Part I. S. P. Novikov’s work on operations on complex cobordism, II. Quillen’s work on formal groups and complex cobordism, III. Stable homotopy and generalised homology)
[3] Atiyah, M. F.: Bordism and cobordism. Proc. Cambridge philos. Soc.57, 200-208 (1961). · Zbl 0104.17405 · doi:10.1017/S0305004100035064
[4] Boardman, J. M.: Stable homotopy theory, mineographed notes. University of Warwick, 1965
[5] Brown, E. H., Peterson, F. P.: A spectrum whose, ?p cohomology is the algebra of reducedp th powers. Topology5, 149-154 (1966) · Zbl 0168.44001 · doi:10.1016/0040-9383(66)90015-2
[6] Conner, P. E., Floyd, E. E.: Differentiable periodic maps. Berlin-Heidelberg-New York: Springer 1964 · Zbl 0125.40103
[7] Conner, P. E., Floyd, E. E.: Periodic maps which preserve a complex structure. Bull. Amer. math. Soc.70, 574-579 (1964) · Zbl 0123.16702 · doi:10.1090/S0002-9904-1964-11204-0
[8] Conner, P. E., Floyd, E. E.: The relation of cobordism toK-theories. Lectures Notes in Mathematics, No. 28. Berlin-Heidelberg-New York: Springer 1966 · Zbl 0161.42802
[9] Hattori, A.: Integral characteristic number for weakly almost complex manifolds. Topology5, 259-280 (1966) · Zbl 0146.19401 · doi:10.1016/0040-9383(66)90010-3
[10] Johnson, D. C.: A Stong-Hattori spectral sequence. Trans. Amer. math. Soc.179, 211-225 (1973) · Zbl 0264.55005 · doi:10.1090/S0002-9947-1973-0368040-7
[11] Johnson, D. C., Wilson, W. S.: Projective dimension and Brown-Peterson homology. Topology12, 327-353 (1973) · Zbl 0271.55006 · doi:10.1016/0040-9383(73)90027-X
[12] Landweber, P. S.: Cobordism operations and Hopf algebras. Trans. Amer. math. Soc.129, 94-110 (1967) · Zbl 0169.54602 · doi:10.1090/S0002-9947-1967-0219062-5
[13] Novikov, S. P.: The methods of algebraic topology from the viewpoint of cobordism theory (Russian). Izvestija Akad. Nauk. SSSR., Ser. Mat.31 855-951 (1967). (English translation: Math. USSR, Izvestija1, 827-913 (1967))
[14] Quillen, D.: On the formal group laws of unoriented and complex cobordism theory. Bull. Amer. math. Soc.75, 1293-1298 (1969) · Zbl 0199.26705 · doi:10.1090/S0002-9904-1969-12401-8
[15] Smith, L.: A note on the Stong Hattori theorem. Illinois J. Math.17, 285-289 (1973) · Zbl 0267.55005
[16] Smith, L.: On Im {? * fr (B?/p) ?? * U (B?/p)}. J. of Pure and Applied Algebra6, 223-234 (1975) · Zbl 0322.55028 · doi:10.1016/0022-4049(75)90017-1
[17] Stong, R. E.: Relations among characteristic numbers I. Topology4, 267-281 (1965) · Zbl 0136.20503 · doi:10.1016/0040-9383(65)90011-X
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