On a product in the classical Adams spectral sequence
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- by Xiugui Liu and Hao Zhao PDF
- Proc. Amer. Math. Soc. 137 (2009), 2489-2496 Request permission
Abstract:
In this paper, we prove the nontriviality of the product $h_0b_0\tilde {\delta }_s\in \textrm {Ext}_A^{s+3,t(s)}(\mathbb {Z}_p,\mathbb {Z}_p)$ in the classical Adams spectral sequence, where $p\geq 11$, $4\leq s<p$, $t(s)=2(p-1)[sp^3+(s-1)p^2+(s-1)p+(s-2)]+(s-4)$ and $\tilde {\delta }_s$ was obtained by X. Wang and Q. Zheng.References
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Additional Information
- Xiugui Liu
- Affiliation: School of Mathematical Sciences and Laboratory of Pure Mathematics and Combinatorics, Nankai University, Tianjin 300071, People’s Republic of China
- Email: xgliu@nankai.edu.cn, matlxg@hotmail.com
- Hao Zhao
- Affiliation: School of Mathematics, The University of Manchester, Oxford Road, Manchester, M13 9PL, United Kingdom
- Email: Hao.Zhao@manchester.ac.uk
- Received by editor(s): September 3, 2008
- Received by editor(s) in revised form: October 16, 2008
- Published electronically: February 11, 2009
- Additional Notes: The first author was supported in part by the National Natural Science Foundation of China (Nos. 10501045, 10771105) and the Fund of the Personnel Division of Nankai University.
- Communicated by: Paul Goerss
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 2489-2496
- MSC (2000): Primary 55Q45
- DOI: https://doi.org/10.1090/S0002-9939-09-09809-8
- MathSciNet review: 2495286