Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
wreath product |
| gptkbp:Cayley_graph |
gptkb:Diestel–Leader_graph
|
| gptkbp:field |
group theory
|
| gptkbp:growth_type |
exponential
|
| gptkbp:heldBy |
gptkb:Cayley_automatic_group
modular group solvable group amenable group infinite group metabelian group finitely generated group |
| https://www.w3.org/2000/01/rdf-schema#label |
lamplighter group
|
| gptkbp:namedAfter |
the lamplighter problem
|
| gptkbp:presentedBy |
⟨a, t | t a t⁻¹ = a²⟩ (for some variants)
|
| gptkbp:standard_example |
gptkb:Z_2_≀_Z
|
| gptkbp:used_in |
gptkb:probability_theory
geometric group theory combinatorics random walks on groups |
| gptkbp:word_problem |
solvable
|
| gptkbp:bfsParent |
gptkb:Group_theory
|
| gptkbp:bfsLayer |
5
|