Title of Paper:
The homotopy groups of the $L_2$-localized mod 3 Moore spectrum
Author:
Katsumi Shimomura
AMS Classification numbers:
55Q45, 55Q52
Address of Author:
Department of Mathematics,
Faculty of Science,
Kochi University,
Kochi, 780-8520,
Japan
Email address of Author:
katsumi@math.kochi-u.ac.jp
Text of Abstruct:
Let $L_2$ denote the Bousfield localization with respect to the 2nd
Johnson-Wilson spectrum $E(2)$.
The homotopy groups $\pi_*(L_2V(0))$ of the mod 3 Moore spectrum $V(0)$
are determined by using the results on $\pi_*(L_2V(1))$, where $V(1)$
denotes the Toda-Smith spectrum.
As an application, we show that $\beta_s\in \pi_*(L_2S^0)$ if and only
if s=0,1,2,3,5,6 mod 9.