Geodesic
A Toda bracket in the stable homotopy groups of spheres
Liu, Xiugui1
1School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, PR China
Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 221-236
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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

of order p. In this paper, we show the nontriviality of the Toda bracket 〈γs,p,ωm,n〉 in the stable homotopy groups of spheres, where n ≥ m + 2 > 6, 3 ≤ s < p.

DOI : 10.2140/agt.2009.9.221
Keywords: stable homotopy groups of sphere, Toda bracket, Adams spectral sequence, May spectral sequence

Liu, Xiugui  1

1 School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, PR China 
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Liu, Xiugui. A Toda bracket in the stable homotopy groups of spheres. Algebraic and Geometric Topology, Tome 9 (2009) no. 1, pp. 221-236. doi: 10.2140/agt.2009.9.221

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