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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).
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.
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 linguistics, converses or relational antonyms are pairs of words that refer to a relationship from opposite points of view, such as parent/child or borrow/lend. [ 1 ] [ 2 ] The relationship between such words is called a converse relation . [ 2 ]
Amenable may refer to: Amenable group; Amenable species; Amenable number; Amenable set; See also. Agreeableness This page was last edited on 7 ...
The isometries that reverse handedness are called indirect, or opposite. For any fixed indirect isometry R , such as a reflection about some hyperplane, every other indirect isometry can be obtained by the composition of R with some direct isometry.
WASHINGTON/BOGOTA (Reuters) -The U.S. and Colombia pulled back from the brink of a trade war on Sunday after the White House said the South American nation had agreed to accept military aircraft ...
It is conjectured that F is not amenable and hence a further counterexample to the long-standing but recently disproved von Neumann conjecture for finitely-presented groups: it is known that F is not elementary amenable. Higman (1974) introduced an infinite family of finitely presented simple groups, including Thompson's group V as a special case.