Elementary amenable group
id:
elementary-amenable-group-265-12514878
title:
Elementary amenable group
text:
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. Formally, the class of elementary amenable groups is the smallest subclass of the class of all groups that satisfies the following conditions: it contain
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encyclopedia
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https://en.wikipedia.org/wiki/Elementary_amenable_group
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date modified:
2023-11-28T00:37:03Z
main entity:
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