 

Hirofumi Nakai and
Douglas C. Ravenel
The method of infinite descent in stable homotopy theory II
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print


Published: 
February 15, 2024. 
Keywords: 
stable homotopy groups of spheres, AdamsNovikov spectral sequence, CartanEilenberg spectral sequence. 
Subject [2010]: 
55Q10, 55Q45, 55Q51, 55T05. 


Abstract
This paper is a continuation of [Rav02] of the same title,
which we will refer hereafter to as [I], which intends to clarify and
expand the results in the last chapter of [Rav86] ("the green
book"). In particular, we give the stable homotopy groups of
plocal spectra T(m)_{(1)} for m>0. This is a part of a program
to compute the pcomponents of π_{*}(S^{0}) through dimension
2p^{4}(p1) for p>2. We will refer to the results from [I] freely as if
they were in the first four sections of this paper, which begins with Section 5.


Acknowledgements
N/A


Author information
Hirofumi Nakai
Tokyo City University
1281 Tamazutsumi
Tokyo 1588557, Japan
hnakai@tcu.ac.jp
Douglas C. Ravenel
Department of Mathematics
University of Rochester
Rochester, NY 14627, USA
doug.ravenel@rochester.edu

