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.
Abstract
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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