球面稳定同伦群的两个新元素h_0(b_1)~3_s)和(b_1)~3g_0_s)

TWO NEW ELEMENTS OF THE STABLE HOMOTOPY GROUP OF SPHERES: h_0(b_1)~3■_s AND (b_1)~3g_0■_s

本文证明了当p≥11,3≤s<p-3时, h0(b1)3∈ExtA7,3p2q+q(H*V(2),Zp), (b1)3g0∈ExtA8,3p2q+pq+2q(H*V(2),Zp)在Adams谱序列中分别收敛到π*V(2)的非零元,在Adams谱序列中分别收敛到π*S的非零p阶元.

This paper proves that p≥11, 3≤s < p - 3,in Adams spectral seqences converges respectively to the nonzero elements of π*V(2) of p order,in Adams spectral sequences converges respectively to the nonzero elements of π*S of p order.