On the existence of the self map v_2^9 on the Smith-Toda complex V(1) at the prime 3

Mark Behrens, Satya Pemmaraju

Let V(1) be the Smith-Toda complex at the prime 3. We prove that there exists a map v_2^9: Σ^{144}V(1) \to V(1) that is a K(2) equivalence. This map is used to construct various v_…