Acta mathematica scientia,Series A
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Liu Xiugui
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Abstract: To determine the stable homotopy groups of spheres π*S is one of the central problems in homotopy theory. In this paper, it is proved that, for p≥ 5 to be an arbitrary odd prime number and 1≤ s1β1βs is nontrivial and of order p in the stable homotopy groups of spheres π*S$.
Key words: Stable homotopy of spheres, Adams spectral sequence, Toda-Smith spectrum
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Liu Xiugui. Non-triviality of an Elementα1β1βsin the Stable Homotopy[J].Acta mathematica scientia,Series A, 2007, 27(2): 208-214.
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http://121.43.60.238/sxwlxbA/EN/Y2007/V27/I2/208
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