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

Rui Zhi Huang () and Xiu Gui Liu ()
Additional contact information
Rui Zhi Huang: Nankai University
Xiu Gui Liu: Nankai University

Indian Journal of Pure and Applied Mathematics, 2016, vol. 47, issue 1, 59-72

Abstract: Abstract Let p be a prime greater than five and A the mod p Steenrod algebra. In this paper, we prove that $$h_n h_m \tilde \delta _{s + 4} \in Ext_A^{s + 6,t(s,n,m) + s} (Z/p,Z/p)$$ is nontrivial in the Adams E 2-term when m ≥ n + 2 ≥ 7 and 0 ≤ s

Keywords: Stable homotopy groups of spheres; Adams spectral sequence; Smith-Toda spectrum; May spectral sequence (search for similar items in EconPapers)
Date: 2016
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s13226-016-0170-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:indpam:v:47:y:2016:i:1:d:10.1007_s13226-016-0170-y

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/13226

DOI: 10.1007/s13226-016-0170-y

Access Statistics for this article

Indian Journal of Pure and Applied Mathematics is currently edited by Nidhi Chandhoke

More articles in Indian Journal of Pure and Applied Mathematics from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().