The homotopy groups of the -localized Toda-Smith spectrum
at the prime 3
Author:
Katsumi Shimomura
Journal:
Trans. Amer. Math. Soc. 349 (1997), 1821-1850
MSC (1991):
Primary 55Q45, 55Q10, 55Q52
DOI:
https://doi.org/10.1090/S0002-9947-97-01710-8
MathSciNet review:
1370651
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper, we try to compute the homotopy groups of the -localized Toda-Smith spectrum
at the prime 3 by using the Adams-Novikov spectral sequence, and have almost done so. This computation involves non-trivial differentials
and
of the Adams-Novikov spectral sequence, different from the case
. We also determine the homotopy groups of some
-localized finite spectra relating to
. We further show some of the non-trivial differentials on elements relating so-called
-elements in the Adams-Novikov spectral sequence for
.
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Additional Information
Katsumi Shimomura
Affiliation:
Faculty of Education, Tottori University, Tottori, 680, Japan
Email:
katsumi@fed.tottori-u.ac.jp
DOI:
https://doi.org/10.1090/S0002-9947-97-01710-8
Received by editor(s):
October 31, 1995
Article copyright:
© Copyright 1997
American Mathematical Society