The homotopy groups of the L_2-localization of a certain type one finite complex at the prime 3

摘要

For the Brown-Peterson spectrum BP at the prime 3, V2 denotes Hazewin-kel's second polynomial generator of BP*. Let L2 denote the Bousfield localization functor with respect to v_2~(-1)BP. A typical example of type one finite spectra is the mod 3 Moore spectrum M. In this paper, we determine the homotopy groups π_*(L_2MΛX) for the 8 skeleton X of BP.