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引用次数: 0
摘要
我们证明，对于每一个素数 p，群的代数干净图实际上是残差 p 有限的，并且同调 p 完全。我们还证明它们在同调上是好的。我们将此应用于某些二维阿尔丁群。
Profinite properties of algebraically clean graphs of free groups
We prove that for every prime p algebraically clean graphs of groups are virtually residually p-finite and cohomologically p-complete. We also prove that they are cohomologically good. We apply this to certain 2-dimensional Artin groups.
期刊介绍：
The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.
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