上同调H1,*(A)中基元的注记

doi:10.6040/j.issn.1671-9352.0.2023.155

《山东大学学报(理学版)》 ›› 2025, Vol. 60 ›› Issue (2): 78-84.doi: 10.6040/j.issn.1671-9352.0.2023.155

• • 上一篇

上同调H^1,*(A)中基元的注记

齐鑫¹,孟蕊²,王玉玉^1*

1.天津师范大学数学科学学院, 天津 300387;2.华东师范大学数学科学学院, 上海 200241

发布日期:2025-02-14
通讯作者: 王玉玉(1979— ),女,博士,教授,硕士生导师,研究方向为稳定同伦论. E-mail:wdoubleyu@aliyun.com
作者简介:齐鑫(1999— ),女,硕士研究生,研究方向为稳定同伦论. E-mail:951569277@qq.com
基金资助:
天津市自然科学基金资助项目(19JCYBJC30300);研究生科研创新资助项目(2022KYCX107Y)

A note on the basis in cohomology H1,*(A)

QI Xin¹, MENG Rui², WANG Yuyu^1*

1. College of Mathematical Science, Tianjin Normal University, Tianjin 300387, China;
2. School of Mathematical Sciences, East China Normal University, Shanghai 200241, China

Published:2025-02-14

摘要/Abstract

摘要： 利用May谱序列以及对相应次数和微分的分析证明了乘积元素h₁h_n(~overδ)_p∈H^p+2,t(A)的非平凡性,其中n≥6,奇素数p≥11,t=q［pⁿ+p⁴+(p-1)p²+(p-1)p+(p-3)］+p-4,q=2(p-1)。

关键词: Adams谱序列, May谱序列, 上同调, May微分, 非平凡性

Abstract: The non-triviality of the product element h1h_n(~overδ)_p∈H^p+2,t(A)is proved by using May spectral sequence and the analysis of degree and differential, where n≥6, the odd prime p≥11, t=q［pⁿ+p4+(p-1)p2+(p-1)p+(p-3)］+p-4, q=2(p-1).

Key words: Adams spectral sequence, May spectral sequence, cohomology, May differential, non-triviality

中图分类号:

O189.23

齐鑫,孟蕊,王玉玉. 上同调H^1,*(A)中基元的注记[J]. 《山东大学学报(理学版)》, 2025, 60(2): 78-84.

QI Xin, MENG Rui, WANG Yuyu. A note on the basis in cohomology H1,*(A)[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2025, 60(2): 78-84.

参考文献

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上同调H^1,*(A)中基元的注记

A note on the basis in cohomology H1,*(A)

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