A nontrivial product in the stable homotopy groups of spheres

摘要

［1］Cohen, R., Odd primary families in stable homotopy theory, Memoirs of the American Mathematical Society,Providence: AMS, 1981, 242［2］Wang, X. J., Zheng, Q. B., The convergence of αs(n) hohk, Science in China, Ser. A, 1998, 41(6): 622-628.［3］Zhou, X. G., Higher cohomology operations that detect homotopy classes, Lecture Notes in Mathematics, Berlin:Springer-Verlag, 1989, 1370: 41-436.［4］Liulevicius, A., The factorizations of cyclic reduced powers by secondary cohomology operations, Memoirs of the American Mathematical Society, Providence: AMS, 1962, 42.［5］Miller, H. R., Ravenel, D. C., Wilson, W. S. et al., Periodic phenomena in the Adams-Novikov spectral sequence,Annals of Mathematics, 1977, 106:469-516.［6］Ravenel, D. C., Complex Cobordism and Stable Homotopy Groups of Spheres, Orlando: Academic Press, 1986.［7］Lin, J. K., A new family of filtration three in the stable homotopy of spheres, Hiroshima Mathematical Journal,2001, 31(3): 477-492.