The homotopy groups of at an odd prime

Authors:
Liu Xiugui, Wang Xiangjun and Yuan Zihong

Journal:
Proc. Amer. Math. Soc. **138** (2010), 1143-1152

MSC (2000):
Primary 55Q99, 55Q52

DOI:
https://doi.org/10.1090/S0002-9939-09-10138-7

Published electronically:
October 28, 2009

MathSciNet review:
2566579

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Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, all spectra are localized at an odd prime. Let be the Ravenel spectrum characterized by -homology as , be the cofiber of the self-map and denote the Bousfield localization functor with respect to . In this paper, we determine the homotopy groups of .

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Additional Information

**Liu Xiugui**

Affiliation:
School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, People’s Republic of China

**Wang Xiangjun**

Affiliation:
School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, People’s Republic of China

**Yuan Zihong**

Affiliation:
School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, People’s Republic of China

Email:
yuanzhchina@gmail.com

DOI:
https://doi.org/10.1090/S0002-9939-09-10138-7

Keywords:
Stable homotopy,
Adams-Novikov spectral sequence,
chromatic spectral sequence

Received by editor(s):
August 1, 2008

Received by editor(s) in revised form:
July 22, 2009

Published electronically:
October 28, 2009

Additional Notes:
The authors were partially supported by NSFC grant No. 10771105.

Communicated by:
Paul Goerss

Article copyright:
© Copyright 2009
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.