The nilpotency of elements of the stable homotopy groups of spheres
The nilpotency of elements of the stable homotopy groups of spheres
复制标题
球面稳定同伦群元素的幂零性
DOI：
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发表时间：
1973
期刊：
影响因子：
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通讯作者：
Goro Nishida
中科院分区：
文献类型：
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作者：
Goro Nishida
$WS_{n}x_{s_{n}}X^{(n)}/WS_{n} imes_{s_{n}}(basepoint)^{(n)}$ , where $WS_{n}$ is an acyclic $S_{n}$-free complex as $S_{n}$ being the n-th symmetric group (for details of the definition, see S 1). The study of constructions of this kind was initiated by N. E. Steenrod [18]. For $n=a$ prime, various applications of extended powers to homotopy theory have been done by J. F. Adams, M. G. Barratt, D. S. Kahn, M. Mahowald and H. Toda. Also R. J. Milgram treated the $D_{4}$ construction to apply it to the Arf invariant problem. The basic idea of the proof of the conjecture is given by H. Toda in [19]. That is, roughly speaking, the study of the stable homotopy type of
$WS_{n}x_{s_{n}}X^{(n)}/WS_{n} imes_{s_{n}}(basepoint)^{(n)}$ , where $WS_{n}$ is an acyclic $S_{n}$-free complex as $S_{n}$ being the n-th symmetric group (for details of the definition, see S 1). The study of constructions of this kind was initiated by N. E. Steenrod [18]. For $n=a$ prime, various applications of extended powers to homotopy theory have been done by J. F. Adams, M. G. Barratt, D. S. Kahn, M. Mahowald and H. Toda. Also R. J. Milgram treated the $D_{4}$ construction to apply it to the Arf invariant problem. The basic idea of the proof of the conjecture is given by H. Toda in [19]. That is, roughly speaking, the study of the stable homotopy type of