A lecture on Invariant Random Subgroups
A lecture on Invariant Random Subgroups
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不变随机子群讲座
DOI：
10.1017/9781108332675.014
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
T. Gelander
中科院分区：
文献类型：
--
作者：
T. Gelander
不变随机子群（IRS）是给定群G中子群空间上的共轭不变概率测度。它们既可以看作是正规子群的推广，也可以看作是格的推广。因此，它是有趣的扩展结果从理论的正规子群和格的背景下IRS。另一种方法是将IRS（G）空间作为紧的G-空间来分析和使用，以建立关于格的新结果。第二种方法已经在作品[7s 12]中采用，后来被称为七武士纸。在这些课堂讲稿中，我们将尝试介绍这两种方法。
Invariant random subgroups (IRS) are conjugacy invariant probability measures on the space of subgroups in a given group G. They can be regarded both as a generalization of normal subgroups as well as a generalization of lattices. As such, it is intriguing to extend results from the theories of normal subgroups and of lattices to the context of IRS. Another approach is to analyse and then use the space IRS(G) as a compact G-space in order to establish new results about lattices. The second approach has been taken in the work [7s12], that came to be known as the seven samurai paper. In these lecture notes we shall try to give a taste of both approaches.
高阶晶格中的阶、组合成本和同源扭转增长
影响因子：
2.5
作者：
Abert M
通讯作者：
Abert M