Form and Content

Abstract. In this paper we compute the 3-primary v1-periodic homotopy groups of the exceptional Lie group E7. This represents the next stage in the author's goal of calculating the v1-periodic homotopy groups of all compact simple Lie groups (at least when localized at an odd prime). Most of the work goes into calculating the unstable Novikov spectral sequence of E7=Sp(2). Showing that this spectral sequence converges to the v1-periodic homotopy groups in this case utilizes recent results of Bous eld and Bendersky-Thompson