v_1-periodic homotopy troups of Sp(n)

Martin Bendersky, Donald M. Davis, and Mark Mahowald

To appear in Pacific Journal. Last updated in 1993.


In this paper we calculate the 2-primary v_1-periodic homotopy groups of the symplectic groups Sp(n). The proof utilizes new methods of calculating the unstable Novikov spectral sequence. One corollary is that some homotopy group of Sp(n) contains an element of order 2^{2n-1}.

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