On a minimal set of generators for the algebra H ∗ ( B E d ; F 2 ) and its applications

D. Phan, L. N. Hoang, T. K. Nguyen
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Abstract

We investigate the Peterson hit problem for the polynomial algebra P d , viewed as a graded left module over the mod-2 Steenrod algebra, A . For d > 4, this problem is still unsolved, even in the case of d = 5 with the help of computers. In this article, we study the hit problem for the case d = 6 in the generic degree 6 ( 2 r − 1 ) + 6.2 r , with r an arbitrary non-negative integer. Furthermore, the behavior of the sixth Singer algebraic transfer in degree 6 ( 2 r − 1 ) + 6.2 r is also discussed at the end of this paper.
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代数H * (B E d)的最小生成集f2)及其应用
我们研究了多项式代数P d的Peterson命中问题,P d被看作是mod2 Steenrod代数a上的一个渐变左模。对于d > 4,这个问题仍然没有解决,即使在d = 5的情况下借助计算机。本文研究了一般阶数为6 (2r−1)+ 6.2 r,且r为任意非负整数的情况下d = 6的命中问题。此外,本文还讨论了6 (2r−1)+ 6.2 r次的第六Singer代数迁移的性质。
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CiteScore
3.10
自引率
4.00%
发文量
77
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