On the nilpotence order of β1

For p > 2, is the first positive even-dimensional element in the stable homotopy groups of spheres. A classical theorem of Nishida[1] states that all elements of positive dimension in the stable homotopy groups of spheres are nilpotent. In fact, Toda [4] proved . For p = 3 he showed that while ....

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Bibliographic Details
Published in:Mathematical proceedings of the Cambridge Philosophical Society 1994-05, Vol.115 (3), p.483-488
Main Authors: Lee, Chun-Nip, Ravenel, Douglas C.
Format: Article
Language:English
Subjects:
Algebraic topology
Exact sciences and technology
Mathematics
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
Online Access:Get full text
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Summary:For p > 2, is the first positive even-dimensional element in the stable homotopy groups of spheres. A classical theorem of Nishida[1] states that all elements of positive dimension in the stable homotopy groups of spheres are nilpotent. In fact, Toda [4] proved . For p = 3 he showed that while . In [2] the second author computed the first thousand stems of the stable homotopy groups of spheres at the prime 5. One of the consequences of this computation is that while .
ISSN:0305-0041
1469-8064
DOI:10.1017/S0305004100072248