关于泛稳定元
On universally stable elements
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.
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