| 谱V(1)同伦群中一些元素的存在性 |
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| 引用本文： | 蔡玉梅,李园园,王玉玉. 谱V(1)同伦群中一些元素的存在性[J]. 华中师范大学学报(自然科学版), 2022, 56(3): 383-388 |
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| 作者姓名： | 蔡玉梅 李园园 王玉玉 |
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| 作者单位： | (天津师范大学数学科学学院, 天津 300387) |
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| 摘 要： | 利用May谱序列以及一些代数和数论的方法,证明了当p≥7时,b1h1,b1g0在Adams谱序列中是永久循环且不是dr边缘,从而分别收敛到同伦群π*V(1)中相应的非零元,其中V(1)是Toda-Smith谱.
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| 关 键 词： | Ext群 Adams谱序列 May谱序列 Toda-Smith谱 存在性 |
The existence of some elements in the homotopy group of spectrum V(1) |
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| CAI Yumei,LI Yuanyuan,WANG Yuyu. The existence of some elements in the homotopy group of spectrum V(1)[J]. Journal of Central China Normal University(Natural Sciences), 2022, 56(3): 383-388 |
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| Authors: | CAI Yumei LI Yuanyuan WANG Yuyu |
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| Affiliation: | (College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China) |
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| Abstract: | In this paper, by using the May spectral sequence and combined with the algebraic and number-theoretical methods, for p≥7, it is proved that both b1h1 and b1 g0 are permanent cycles in the Adams spectral sequence and not dr boundaries. The corresponding nonzero elements of the homotopy group π* V(1) will be detected, where V(1) is Toda-Smith spectrum. |
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| Keywords: | Ext group Adams spectral sequence May spectral sequence Toda-Smith spectrum existence |
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