A Toda bracket in the stable homotopy groups of spheres

作者：Liu Xiugui^*

来源：Algebraic and Geometric Topology, 2009, 9(1): 221-236.

DOI：10.2140/agt.2009.9.221

Let p be a prime number greater than five. In the p-local stable homotopy groups of spheres, H Toda and J Lin, respectively, constructed the elements
gamma(s) is an element of pi(2sp3-2p2-2p-2s 1)(S),
omega(m,n) is an element of pi(2pn 1-2pn 2pm 1-2pm 2p-6)(S)
of order p. In this paper, we show the nontriviality of the Toda bracket <gamma(s), p, omega(m,n)> in the stable homotopy groups of spheres, where n >= m 2 > 6, 3 <= s < p.

• 出版日期2009
• 单位南开大学