A new family in the stable homotopy groups of spheres

نویسندگان

  • Kai Ma Mathematics and Information Science College,Hebei Normal University, 050016,Shijiazhuang, P. R. China
  • Xiugui Liu School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R China
چکیده مقاله:

Let $p$ be a prime number greater than three. In this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(S)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm Ext}_A^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ up to nonzero scalar in the Adams spectral sequence, where $ngeq m+2>5$, $0leq sExt}_A^{s+2,q[(s+2)p+(s+1)]+s}(mathbb{Z}_p,mathbb{Z}_p)$ was defined by X. Wang and Q. Zheng.

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a new family in the stable homotopy groups of spheres

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عنوان ژورنال

دوره 38  شماره 2

صفحات  313- 322

تاریخ انتشار 2012-07-15

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