Lecture 9 : Elementary subexponentially amenable groups by Kate Juschenko
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Lecture 5 : Examples of non - elementary amenable groups . The full topological group of Cantor minimal system
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Non-elementary amenable subgroups of automata groups
We consider groups of automorphisms of locally finite trees, and give conditions on its subgroups that imply that they are not elementary amenable. This covers all known examples of groups that are not elementary amenable and act on the trees: groups of intermediate growths and Basilica group, by giving a more straightforward proof. Moreover, we deduce that all finitely generated branch groups ...
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تاریخ انتشار 2014