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An amenable number is a positive integer for which there exists a multiset of as many integers as the original number that both add up to the original number and when ...
In particular, finite direct product of amenable groups are amenable, although infinite products need not be. Direct limits of amenable groups are amenable. In particular, if a group can be written as a directed union of amenable subgroups, then it is amenable. Amenable groups are unitarizable; the converse is an open problem.
Amenable may refer to: Amenable group; Amenable species; Amenable number; Amenable set; See also. Agreeableness This page was last edited on 7 ...
In mathematics, a group is called elementary amenable if it can be built up from finite groups and abelian groups by a sequence of simple operations that result in amenable groups when applied to amenable groups. Since finite groups and abelian groups are amenable, every elementary amenable group is amenable - however, the converse is not true.
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An amenable group which has property (T) is necessarily compact. Amenability and property (T) are in a rough sense opposite: they make almost invariant vectors easy or hard to find. Kazhdan's theorem: If Γ is a lattice in a Lie group G then Γ has property (T) if and only if G has property (T).
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Americans Appear More Amenable to Autocracy in 2024. Philip Elliott. January 2, 2024 at 2:53 PM. This article is part of The D.C. Brief, TIME’s politics newsletter.