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ISSN 1088-6826(e) ISSN 0002-9939(p)

The homotopy groups of at an odd prime

Author(s): Liu Xiugui; Wang Xiangjun; Yuan Zihong
Journal: Proc. Amer. Math. Soc. 138 (2010), 1143-1152.
MSC (2000): Primary 55Q99, 55Q52
Posted: October 28, 2009
MathSciNet review: 2566579
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Abstract: In this paper, all spectra are localized at an odd prime. Let be the Ravenel spectrum characterized by $BP_{\ast}$ -homology as $BP_{\ast}[t_1]$ , be the cofiber of the self-map $v_1: \Sigma^{2p-2}T(1)\rightarrow T(1)$ and denote the Bousfield localization functor with respect to $v_2^{-1}BP_{\ast}$ . 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: 10.1090/S0002-9939-09-10138-7
PII: S 0002-9939(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
Posted: October 28, 2009
Additional Notes: The authors were partially supported by NSFC grant No. 10771105.
Communicated by: Paul Goerss
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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