Abstract
In In [Ann. Math. (2) 106 (1977) 469–516], Miller, Ravenel and Wilson defined generalized beta elements in the –term of the Adams–Novikov spectral sequence converging to the stable homotopy groups of spheres, and in [Hiroshima Math. J. 7 (1977) 427–447], Oka showed that the beta elements of the form for positive integers and survive to the homotopy of spheres at a prime , when and if . In this paper, for , we expand the condition so that for and survives to the stable homotopy groups.
Citation
Katsumi Shimomura. "The beta elements $\beta_{tp^2/r}$ in the homotopy of spheres." Algebr. Geom. Topol. 10 (4) 2079 - 2090, 2010. https://doi.org/10.2140/agt.2010.10.2079
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