Amenability+ · Question 1
Amenability of discrete groups · Historical workshop question
Editorial mapping of AIMPL source category: Geometric group theory. http://aimpl.org/amenablediscrete/ Not an author-supplied MSC code.
Problem statement
Is there an amenable hereditary just-infinite group that is not elementary amenable? Is there a finitely presented one?
Lean 4
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Background
Section context
Questions pertaining to extensions, relexations, and generalizations of the notions of amenability and related properties (such as the Liouville property). Amenability in conjuction with other properties (is there an amenable ______ group?).
Question context
Definition: A hereditary just-infinite group is a residually finite group such that every finite index subgroup of it is just-infinite.
Progress & source assessment
Historical workshop record. Current open/solved status has not been independently reassessed.
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- [1]Amenability of discrete groups link
Recorded progress
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Discussion
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