具有无界挠率的H1F-groups及Kropholler和Mislin的一个猜想
Some H1F-groups with unbounded torsion and a conjecture of Kropholler and Mislin
摘要：
Kropholler和Mislin证明了群在有限维G-CW-复形上的可容许作用是一个有限维模型E_FG，即真作用的分类空间。这个猜想是已知的持有组有界挠。在这篇注记中，我们考虑一个包含上述和许多已知的例子无界挠群U的大类。我们证明了该猜想对U的一个大子类成立。
英文摘要：
Kropholler and Mislin conjectured that groups acting admissibly on a finite-dimensional G-CW-complex with finite stabilisers admit a finite-dimensional model for E_FG, the classifying space for proper actions. This conjecture is known to hold for groups with bounded torsion. In this note we consider a large class of groups U containing the above and many known examples with unbounded torsion. We show that the conjecture holds for a large subclass of U.
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