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References
J. F. Adams, On the groups J(X), IV, Topology 5(1966), 21–71.
J. F. Adams, Lectures on generalized cohomology, Lecture Notes in Math., Vol. 99 (Springer-Verlag, 1969).
J. F. Adams, Localization and completion with an addendum on the use of Brown-Peterson homology in stable homotopy, University of Chicago Lecture Notes in Mathematics, 1975.
J. F. Adams, On the nonexistence of elements of Hopf invariant one, Ann. of Math. 72(1960), 20–103.
J. F. Adams, A periodicity theorem in homological algebra, Proc. Cambridge Phil. Soc. 62(1966), 365–377.
J. F. Adams, Stable homotopy and generalized homology, University of Chicago Press, 1974.
J. F. Adams, Stable homotopy theory, Lecture Notes in Math., Vol. 3 (Springer-Verlag, 1966).
J. F. Adams, On the structure and applications of the Steenrod algebra, Comm. Math. Helv. 32(1958), 180–214.
S. Araki, Typical formal groups in complex cobordism and K-theory, Kinokumiya Book-Store, Kyoto, 1974.
M. G. Barratt, M. E. Mahowald, and M. C. Tangora, Some differentials in the Adams spectral sequence-II, Topology, 9(1970), 309–316.
A. K. Bousfield, Types of acyclicity, J. Pure Appl. Algebra 4(1974), 293–298.
A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Math., Vol.304(Springer-Verlag, 1972).
Browder, The Kervaire invariant of framed manifolds and its generalizations, Ann. of Math. 90(1969), 157–186.
V. M. Buhstaber and S. P. Novikov, Formal groups, power systems and Adams operators, Math. USSR Sbornik 13(1971), 70–116.
H. Cartan and S. Eilenberg, Homological Algebra, Princeton University Press, 1956.
P. Cartier, Modules associés à un groupe formel commutatif. Courbes typiques, C. R. Acad. Sci. Paris, 265(1967), A129–132.
A. Fröhlich, Formal groups, Lecture Notes in Math., Vol. 74 (Springer-Verlag, 1968).
M. Hazewinkel, Formal groups and applications, Academic Press (to appear).
M. Hazewinkel, A universal formal group and complex cobordism, Bull. A.M.S. 81(1975), 930–933.
D. C. Johnson, H. R. Miller, W. S. Wilson, and R. S. Zahler, Boundary homomorphisms in the generalized Adams spectral sequence and the non-triviality of infinitely many γt in stable homotopy Reunion sobre teoria de homotopia, Northwestern Univ. 1974, Soc. Mat. Mexicana, 1975, 47–59.
P. S. Landweber, Annihilator ideals and primitive elements in complex bordism, Ill. J. Math 17(1973); 273–283.
P. S. Landweber, BP*(BP) and typical formal groups, Osaka J. Math. 12(1975), 357–369.
M. P. Lazard, Commutative formal groups, Lecture Notes in Math., Vol. 443 (Springer-Verlag, 1975).
M. P. Lazard, Groupes analytiques p-adiques, IHES Pub. Math. No. 26(1965).
M. P. Lazard, Sur les groupes formels a un parametre, Bull. Soc. Math. France, 83(1955) 251–274.
A. Liulevicius, The factorization of cyclic reduced powers by secondary cohomology operations, Mem. Amer. Math. Soc. 42(1962).
M. E. Mahowald, The metastable homotopy of Sn, Memoirs A.M.S. 72, 1967.
M. E. Mahowald, A new infinite family in 2Π* S, Topology 16 (1977), 249–256.
M. E. Mahowald, Some remarks on the Arf invariant problem from the homotopy point of view, Proc. Symp. Pure Math. A.M.S. Vol. 22.
M. E. Mahowald and M. C. Tangora, On secondary operations which detect homotopy classes, Bol. Soc. Math. Mexicana (2) 12(1967), 71–75.
M. E. Mahowald and M. C. Tangora, Some differentials in the Adams spectral sequence, Topology 6(1967), 349–369.
J. P. May, The cohomology of restricted Lie algebras and of Hopf algebras, J. Alg. 3(1966), 123–146.
J. P. May, The cohomology of restricted Lie algebras and of Hopf algebras; application to the Steenrod algebra, Thesis, Princeton University 1964.
J. P. May, Matric Massey products, J. Alg. 12(1969), 533–568.
R. J. Milgram, The Steenrod algebra and its dual for connective K-theory, Reunion sobre teoria de homotopia, Northwestern Univ. 1974, Soc. Mat. Mexicana, 1975, 127–158.
H. R. Miller, Some algebraic aspects of the Adams-Novikov spectral sequence, Thesis, Princeton University, 1974.
H. R. Miller and D. C. Ravenel, Morava stabilizer algebras and the localization of Novikov's E2-term, Duke Math. Journal 44 (1977) 433–446.
H. R. Miller, D. C. Ravenel, and W. S. Wilson, Novikov's Ext2 and the nontriviality of the gamma family, Bull. Amer. Math. Soc., 81(1975), 1073–1075.
H. R. Miller, D. C. Ravenel, and W. S. Wilson, Periodic phenomena in the Adams-Novikov spectral sequence, Ann. of Math. (to appear).
H. R. Miller and W. S. Wilson, On Novikov's Ext1 modulo an invariant prime ideal, Topology, 5(1976), 131–141.
J. Morava, Extensions of cobordism comodules, (to appear).
J. Morava, Structure theorems for cobordism comodules, (to appear somewhere).
New York Times, editorial page, June 2, 1976.
S. P. Novikov, The methods of algebraic topology from the viewpoint of cobordism theories, Math. U.S.S.R.-Izvestiia 1 (1967), 827–913.
S. Oka, A new family in the stable homotopy groups of spheres, Hiroshima J. Math., 5(1975), 87–114.
S. Oka, A new family in the stable homotopy groups of spheres II, Hiroshima J. Math. 6 (1976), 331–342.
S. Oka, Realizing some cyclic BP*-modules and applications to homotopy groups of spheres, Hiroshima Math: J. 7(1977), 427–447.
S. Oka and H. Toda, Nontriviality of an element in the stable homotopy groups of spheres, Hiroshima Math. J. 5(1975), 115–125.
D. G. Quillen, The Adams conjecture, Topology 10(1971), 1–10.
D. G. Quillen, On the formal group laws of unoriented and complex cobordism, Bull. A.M.S. 75(1969), 115–125.
D. C. Ravenel, The cohomology of the Morava stabilizer algebras, Math. Z. 152(1977), 287–297.
D. C. Ravenel, Computations with the Adams-Novikov spectral sequence at the prime 3 (to appear).
D. C. Ravenel, Localization with respect to certain periodic homology theories, to appear.
D. C. Ravenel, A May spectral sequence converging to the Adams-Novikov E2-term, (to appear).
D. C. Ravenel, A new method for computing the Adams-Novikov E2-term, (to appear).
D. C. Ravenel, The nonexistence of odd primary Arf invariant elements in stable homotopy, Math. Proc. Cambridge Phil. Soc. (to appear).
D. C. Ravenel, The structure of BP*BP modulo an invariant prime ideal, Topology 15(1976), 149–153.
D. C. Ravenel, The structure of Morava stabilizer algebras, Inv. Math. 37(1976), 109–120.
D. C. Ravenel and W. S. Wilson, The Hopf ring for complex cobordism, J. of Pure and Applied Algebra (to appear).
Science. June 7, 1976.
N. Shimada and T. Yamamoshita, On the triviality of the mod p Hopf invariant, Jap. J. Math. 31(1961), 1–24.
C. L. Siegel, Topics in Complex Function Theory, Vol I. Wiley-Interscience, 1969.
L. Smith, On realizing complex bordism modules, Amer. J. Math. 92(1970) 793–856.
L. Smith, On realizing complex bordism modules IV, Amer. J. Math. 99(1971), 418–436.
V. P. Snaith Cobordism and the stable homotopy of classifying spaces, (to appear).
N. E. Steenrod and D. B. A. Epstein, Cohomology operations, Ann. of Math. Studies, 50.
M. C. Tangora, On the cohomology of the Steenrod algebra, Math. Z. 116(1970), 18–64.
E. Thomas and R. S. Zahler, Nontriviality of the stable homotopy element γ1, J. Pure Appl. Algebra 4(1974), 189–203.
H. Toda, Composition methods in homotopy groups of spheres, Ann. of Math. Studies 49.
H. Toda, Extended p-th powers of complexes and applications to homotopy theory, Proc. Japan Acad. 44(1968), 198–203.
H. Toda, An important relation in homotopy groups of spheres, Proc. Japan Acad. 43(1967), 893–942.
H. Toda, p-primary components of homotopy groups, IV, Mem. Coll. Sci., Kyoto, Series A 32(1959), 297–332.
H. Toda, On spectra realizing exterior parts of the Steenrod algebra, Topology 10(1971), 53–65.
J. S. P. Wang, On the cohomology of the mod-2 Steenrod algebra and the non-existence of elements of Hopf invariant one, Ill. J. Math 11(1967), 480–490.
R. S. Zahler, The Adams-Novikov spectral sequence for the spheres, Ann. of Math 96(1972), 480–504.
R. S. Zahler, Fringe families in stable homotopy, Trans. Amer. Math. Soc., 224(1976), 243–253.
M. E. Mahowald, The construction of small ring spectra, (to appear).
S. Oka, Ring spectra with few cells, (to appear).
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Ravenel, D.C. (1978). A Novice's guide to the adams-novikov spectral sequence. In: Barratt, M.G., Mahowald, M.E. (eds) Geometric Applications of Homotopy Theory II. Lecture Notes in Mathematics, vol 658. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0068728
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