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  2. Kazhdan's property (T) - Wikipedia

    en.wikipedia.org/wiki/Kazhdan's_property_(T)

    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).

  3. Amenable group - Wikipedia

    en.wikipedia.org/wiki/Amenable_group

    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.

  4. Amenable number - Wikipedia

    en.wikipedia.org/wiki/Amenable_number

    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 ...

  5. Converse (semantics) - Wikipedia

    en.wikipedia.org/wiki/Converse_(semantics)

    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 ]

  6. Amenable - Wikipedia

    en.wikipedia.org/wiki/Amenable

    Amenable may refer to: Amenable group; Amenable species; Amenable number; Amenable set; See also. Agreeableness This page was last edited on 7 ...

  7. Euclidean group - Wikipedia

    en.wikipedia.org/wiki/Euclidean_group

    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.

  8. US, Colombia reach deal on deportations; tariffs, sanctions ...

    www.aol.com/news/colombias-petro-not-allow-us...

    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 ...

  9. Thompson groups - Wikipedia

    en.wikipedia.org/wiki/Thompson_groups

    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.