Nagoya Mathematical Journal
- Nagoya Math. J.
- Volume 207 (2012), 139-157.
The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime
The chromatic spectral sequence was introduced by Miller, Ravenel, and Wilson to compute the -term of the Adams-Novikov spectral sequence for computing the stable homotopy groups of spheres. The -term of the spectral sequence is an Ext group of -comodules. There is a sequence of Ext groups for nonnegative integers with , and there are Bockstein spectral sequences computing a module from . So far, a small number of the -terms are determined. Here, we determine the for and by computing the Bockstein spectral sequence with -term for . As an application, we study the nontriviality of the action of and in the homotopy groups of the second Smith-Toda spectrum .
Nagoya Math. J., Volume 207 (2012), 139-157.
First available in Project Euclid: 26 July 2012
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Kato, Ryo; Shimomura, Katsumi. The first line of the Bockstein spectral sequence on a monochromatic spectrum at an odd prime. Nagoya Math. J. 207 (2012), 139--157. doi:10.1215/00277630-1630050. https://projecteuclid.org/euclid.nmj/1343309821