Abstract
As is well known, the image of the $J$-homomorphism in the stable homotopy groups of spheres is described in terms of the first line of the Adams-Novikov $E_2$-term. In this paper we consider an algebraic analogue of the image of $J$ using the spectrum $T(m)_(j)$ defined by Ravenel and determine the Adams-Novikov first line for small values of $j$.
Citation
Hirofumi Nakai. "An algebraic generalization of image $J$." Homology Homotopy Appl. 10 (3) 321 - 333, 2008.
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