A PRODUCT IN THE ADAMS E2-TERM
Let p be a prime greater than five and A be the mod p Steenrod algebra. In this paper, we show that the product is nontrivial in the cohomology of A for n ≥ 5, and trivial for n = 1, 2, 3, 4, where is the fourth Greek letter element, 0 ≤ s < p − 4. The results obtained in this paper lay a foundation for detecting new families of homotopy elements in the stable homotopy groups of spheres.
stable homotopy groups of spheres, Adams spectral sequence, May spectral sequence.
Received: June 2, 2022; Accepted: July 26, 2022; Published: August 22, 2022
How to cite this article: Jianming Xiao and Xiugui Liu, A product in the Adams E2-term, JP Journal of Geometry and Topology 28 (2022), 37-54. http://dx.doi.org/10.17654/0972415X22008
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