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The Brown-Peterson homology and nilpotence of the infinite special orthogonal group.

Dung Yung Yan (1995)

Mathematische Zeitschrift

The homotopy groups of the L2 -localization of a certain type one finite complex at the prime 3

Yoshitaka Nakazawa, Katsumi Shimomura (1997)

Fundamenta Mathematicae

For the Brown-Peterson spectrum BP at the prime 3, $v_{2}$ denotes Hazewinkel’s second polynomial generator of $B P_{*}$ . Let $L_{2}$ denote the Bousfield localization functor with respect to $v_{2}^{- 1} B P$ . A typical example of type one finite spectra is the mod 3 Moore spectrum M. In this paper, we determine the homotopy groups $π_{*} (L_{2} M \land X)$ for the 8 skeleton X of BP.