New families in the homotopy of the motivic sphere spectrum
نویسنده
چکیده
In [1] Adams constructed a non-nilpotent map v 1 : Σ S/2 −→ S/2. Using iterates of this map one constructs infinite families of elements in the stable homotopy groups of spheres, the v1-periodic elements of order 2. In this paper we work motivically over C and construct a nonnilpotent self map w 1 : Σ S/η −→ S/η. We then construct some infinite families of elements in the homotopy of the motivic sphere spectrum, w1-periodic elements killed by η.
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