%0 Journal Article
%T 球面稳定同伦群中第三周期γ类非平凡新元素<br>ON A NEW NONTRIVIAL ELEMENT INVOLVING THE THIRD PERIODICITY γ-FAMILY IN π*S
%A 作者
%A 王玉玉
%A 王健波
%J 数学杂志
%D 2017
%X 本文研究了球面稳定同伦群的问题.以Adams谱序列中的第二非平凡微分为几何输入，给出了球面稳定同伦群中h0gn（n > 3）的收敛性.同时，由Yoneda乘积的知识，发掘了球面稳定同伦群中的一个非平凡新元素.非平凡元素的范围将被我们的结果进一步扩大.<br>In this paper, we discuss stable homotopy groups of spheres. By making a nontrivial secondary differential as geometric input in the Adams spectral sequence, the convergence of h0gn (n > 3) in π*S is given. Furthermore, by the knowledge of Yoneda products, a new nontrivial element in π*S is detected. The scale of the nontrivial elements is expanded by our results
%K 球面稳定同伦群 Toda-Smith谱 Adams谱序列 May谱序列 Adams微分&lt
%K br&gt
%K stable homotopy groups of spheres Toda-Smith spectrum Adams spectral sequence May spectral sequence Adams differential
%U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20170502&flag=1