单片可修改组:一个应用

Open Access Library Journal Pub Date : 2021-01-29 DOI:10.4236/OALIB.1107012

Amal Mohammed Ahmed Gaweash, Hayat Yousuf Ismail Bakur, Mariam Almadi Mohammed Mu’lla

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引用次数: 0

摘要

在G作用下，在X上存在一个不变的均值的意义上，研究了可数离散群的单可调可调群的作用。假设G是不可调的，我们得到了可调作用的稳定子群的结构结果，使我们能够将G的前12 - betti数与稳定子群的前12 - betti数联系起来。

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Monotileable Amenable Groups: An Application

We study actions of countable discrete groups which are Monotileable amenable groups in the sense that there exists a mean on X which is invariant under the action of G. Assuming that G is nonamenable, we obtain structural results for the stabilizer subgroups of amenable actions which allow us to relate the first l2-Betti number of G with that of the stabilizer subgroups.

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Open Access Library Journal

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