Generalized Word Problem for Groups
GPTKB entity
Statements (13)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
subgroup membership problem
|
| gptkbp:describes |
The generalized word problem for groups asks, given a finitely generated group G, a finitely generated subgroup H, and an element g in G, whether g belongs to H.
|
| gptkbp:field |
group theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Generalized Word Problem for Groups
|
| gptkbp:introduced |
gptkb:Gilbert_Baumslag
|
| gptkbp:introducedIn |
1960s
|
| gptkbp:isSolvable |
free groups
|
| gptkbp:relatedTo |
theoretical computer science
word problem for groups |
| gptkbp:unsolvableFor |
some finitely presented groups
|
| gptkbp:bfsParent |
gptkb:PSPACE
|
| gptkbp:bfsLayer |
5
|