In group theory, the Grigorchuk group, also called the first Grigorchuk group, is a finitely generated group constructed by Rostislav Grigorchuk that gave the first example of a finitely generated group of intermediate growth, meaning its growth is faster than polynomial but slower than exponential. Grigorchuk constructed the group in 1980 and proved in 1984 that it has intermediate growth, resolving a question John Milnor had posed in 1968 about whether such groups exist. It remains an important example in geometric group theory, particularly in the study of branch groups and automata groups. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/
Facts
Origin Yearoriginally constructed by Grigorchuk in a 1980 paper Classification
Object KindStructure or Algebraic Object 1 Connections
In Branch
Source Grigorchuk Group (Wikipedia)
Is Kind Of Object
Entity-backed identity for the object-kind enum value this mathematical object already carries, resolved to a mathematics concept by an explicit value-to-entity map (phase 3 bucket conversion, docs\design_entity_backed_browse_buckets_20260928.md). The object-kind fact itself stays on the object unchanged.
Sources
1. Grigorchuk Group (Wikipedia)
In Branch: Group Theory, Lead sentenceQuote, In Branch: Group Theory, Lead sentence
In the mathematical area of group theory, the Grigorchuk group or the first Grigorchuk group is a finitely generated group constru
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