Concept information
Preferred term
amenable group
Definition(s)
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In mathematics, an amenable group is a locally compact topological group G carrying a kind of averaging operation on bounded functions that is invariant under translation by group elements. The original definition, in terms of a finitely additive measure (or mean) on subsets of G, was introduced by John von Neumann in 1929 under the German name "messbar" ("measurable" in English) in response to the Banach–Tarski paradox. In 1949 Mahlon M. Day introduced the English translation "amenable", apparently as a pun on "mean".
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Amenable_group)
Broader concept(s)
In other languages
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French
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groupe amenable
URI
http://data.loterre.fr/ark:/67375/PSR-WLD5V2P7-G
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