The homotopy groups of 𝐿₂𝑇(1)/(𝑣₁) at an odd prime

Xiugui, Liu; Xiangjun, Wang; Zihong, Yuan

doi:10.1090/S0002-9939-09-10138-7

The homotopy groups of $L_2T(1)/(v_1)$ at an odd prime
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by Liu Xiugui, Wang Xiangjun and Yuan Zihong PDF

Proc. Amer. Math. Soc. 138 (2010), 1143-1152 Request permission

Abstract:

In this paper, all spectra are localized at an odd prime. Let $T(1)$ be the Ravenel spectrum characterized by $BP_{\ast }$-homology as $BP_{\ast }[t_1]$, $T(1)/(v_1)$ be the cofiber of the self-map $v_1: \Sigma ^{2p-2}T(1)\rightarrow T(1)$ and $L_2$ denote the Bousfield localization functor with respect to $v_2^{-1}BP_{\ast }$. In this paper, we determine the homotopy groups of $L_2T(1)/(v_1)$.

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