arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0711.5014math.GRmath.AT
收藏

关于泛稳定元

On universally stable elements

I. J. Leary, B. Schuster, N. Yagita

摘要:

我们证明了有限p-群P的上同调的某些子环可以实现为来自适当的虚自由群的限制象。我们推出P的上同调是任何这样的子环的有限模。例子包括由Evens和Priddy定义的“普遍稳定元素”环,以及模-2迪克森代数等不变量环。

英文摘要:

We show that certain subrings of the cohomology of a finite p-group P may be realised as the images of restriction from suitable virtually free groups. We deduce that the cohomology of P is a finite module for any such subring. Examples include the ring of `universally stable elements' defined by Evens and Priddy, and rings of invariants such as the mod-2 Dickson algebras.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑