A nontrivial product in the E-2-term of the Adams spectral sequence for the sphere spectrum

作者：Liu Xiugui^*; Huang Ruizhi

来源：Journal of Homotopy and Related Structures, 2015, 10(4): 735-748.

DOI：10.1007/s40062-014-0082-7

• Steenrod algebra
• Cohomology
• Adams spectral sequence
• May spectral sequence

Let p be a prime greater than five and A themod p Steenrod algebra. In this paper, we prove that the product h(0)h(n)(delta) over tilde (s+4) is an element of Ext(A)(s+6, t (s, n)+ s) A (Z/p, Z/p) is nontrivial in theAdams E2-term for n >= 5or n = 2, and trivial for n = 3, 4, where 0 <= s < p-4 and t (s, n) = 2(p - 1)[(s + 2) + (s + 2) p + (s + 3) p(2) + (s + 4) p(3) + p(n)].

• 出版日期2015-12
• 单位南开大学