THE COMPOSITION OF R. COHEN’S ELEMENTS AND THE THIRD PERIODIC ELEMENTS IN STABLE HOMOTOPY GROUPS OF SPHERES

[1] R. Cohen: Odd primary families in stable homotopy theory, Mem. Amer. Math. Soc. 30 (1981), no. 242.

[2] M. Hazewinkel: A universal formal group and complex cobordism, Bull. Amer. Math. Soc. 81 (1975), 930–933.

[3] M. Hazewinkel: Construction Formal Groups I. Over Z(p)-Algebras, Report no. 7119, Netherlands School of Economics, 1971.

[4] R. Kato and K. Shimomura: Products of Greek letter elements dug up from the third Morava stabilizer algebra, Algebr. Geom. Topol. 12 (2012), 951–961.

[5] C. Lee: Detection of some elements in the stable homotopy groups of spheres, Math. Z. 222 (1996), 231– 246.

[6] X. Liu and X. Wang: A four-filtrated May spectral sequence and its applications, Acta. Math. Sin (Engl Ser.) 24 (2008), 1507–1524.

[7] A. Liulevicius: The factorization of cyclic reduced powers by secondary cohomology operations, Mem. Amer. Math. Soc. 42 (1962).

[8] M. Mahowald: A new infinite family in 2πs, Topology 16 (1977), 249–256.

[9] H. Miller, D.C. Ravenel and S. Wilson: Periodic phenomena in the Adams-Novikov spectral sequence, Ann. of Math. 106 (1977), 469–516.

[10] H. Miller and D.C. Ravenel: Morava stabilizer algebras and the localization of Novikov’s E2 -term, Duke Math. J. 44 (1977), 433–447.

[11] D.C. Ravenel: Complex Cobordism and Stable Homotopy Groups of Spheres, Academic Press, New York, 1986.

[12] D.C. Ravenel: The Cohomology of the Morava Stabilizer Algebras, Math. Z. 152 (1977), 287–297.

[13] L. Smith: On realizing complex bordism modules, Amer. J. Math. 92 (1970), 793–856.

[14] H. Toda: On spectra realizing exterior parts of Steenord algebra, Topology 10 (1971), 53–65.

[15] X.J. Wang and Q.B. Zheng: The convergence of α(n)h0hk, Sci. China Ser. A 41 (1998), 622–628.

[16] A. Yamaguchi: The structure of the cohomology of Morava stabilizer algebra S (3), Osaka J. Math. 29 (1992), 347–359.