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v1-periodic homotopy groups of
Sp(n)
Martin Bendersky, Donald M. Davis and Mark Mahowald |
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Vol. 170 (1995), No. 2, 319–378
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Abstract |
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In this paper we calculate the 2-primary v1-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 22n−1. |
Mathematical Subject Classification 2000
Primary: 55Q52
Secondary: 55T99, 57T20
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Milestones
Received: 14 December 1992
Published: 1 October 1995
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Authors |
| Martin Bendersky | |
| Donald M. Davis | |
| Lehigh University Bethlehem PA 18015 United States |
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| http://www.lehigh.edu/~dmd1 | |
| Mark Mahowald | |
| Department of Mathematics Northwestern University Evanston IL 60208 United States |
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| http://www.math.northwestern.edu/people/emeritiProfiles/mark.mahowald.html | |
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