Grigorchuk group

GPTKB entity

Statements (26)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkb:mathematical_concept
gptkbp:actsOn binary rooted tree
gptkbp:definedIn an infinite finitely generated group of intermediate growth
gptkbp:discoveredBy gptkb:Rostislav_Grigorchuk
gptkbp:discoveredIn 1980
gptkbp:field gptkb:mathematics
group theory
gptkbp:foundIn gptkb:Soviet_Union
gptkbp:growthForm intermediate
https://www.w3.org/2000/01/rdf-schema#label Grigorchuk group
gptkbp:namedAfter gptkb:Rostislav_Grigorchuk
gptkbp:notableFor infinite
finitely generated
torsion group
amenable
first example of a group of intermediate growth
just infinite
not elementary amenable
gptkbp:presentedBy defined by automata
gptkbp:relatedTo gptkb:Burnside_problem
automata groups
growth of groups
self-similar groups
gptkbp:bfsParent gptkb:Group_theory
gptkbp:bfsLayer 5