Non-triviality of a product in the Adams E (2)-term

Non-triviality of a product in the Adams E (2)-term
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Adams E (2) 项中乘积的非平凡性

DOI:
10.1007/s13226-016-0170-y
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发表时间:
2016
影响因子:
0.7
通讯作者:
Liu Xiu Gui
Liu Xiu Gui
中科院分区:
数学4区
文献类型:
--
作者:
Huang Rui Zhi;Liu Xiu Gui

文献摘要

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Letpbe a prime greater than five andAthe modpSteenrod algebra. In this paper, we prove thatis nontrivial in the AdamsE2-term whenm≥n+ 2 ≥ 7 and 0 ≤s<p− 4, and trivial in the AdamsE2-term whenm≥n+ 2 = 6 and 0 ≤s<p− 4, wherestands for the fourth Greek letter element andt(s,n,m) = 2(p− 1)[(s+ 1) + (s+ 2)p+ (s+ 3)p2+ (s+ 4)p3+pn+pm].