Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
group presentations
|
| gptkbp:category |
gptkb:transformation
|
| gptkbp:field |
group theory
combinatorial group theory |
| https://www.w3.org/2000/01/rdf-schema#label |
Tietze transformations
|
| gptkbp:introducedIn |
1908
|
| gptkbp:namedAfter |
gptkb:Heinrich_Franz_Friedrich_Tietze
|
| gptkbp:property |
preserve isomorphism of groups
|
| gptkbp:purpose |
to show equivalence of group presentations
|
| gptkbp:relatedTo |
gptkb:Andrews–Curtis_conjecture
group isomorphism problem |
| gptkbp:type |
four
adding a generator adding a relator removing a generator removing a relator |
| gptkbp:usedFor |
rewriting group presentations
|
| gptkbp:usedIn |
algorithmic group theory
|
| gptkbp:bfsParent |
gptkb:Heinrich_Tietze
|
| gptkbp:bfsLayer |
5
|