Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
trivial group
|
| gptkbp:automorphismGroup |
trivial group
|
| gptkbp:category |
gptkb:algebra
|
| gptkbp:centralTo |
itself
|
| gptkbp:commutatorSubgroup |
itself
|
| gptkbp:cycle |
true
|
| gptkbp:defines |
The trivial group consisting of a single element, the identity element
|
| gptkbp:hasNormalSubgroup |
every group
|
| gptkbp:hasSubgroup |
every group
|
| https://www.w3.org/2000/01/rdf-schema#label |
Zero group
|
| gptkbp:identityElement |
the only element in the group
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
any group of order 1
|
| gptkbp:isSimple |
true
|
| gptkbp:order |
1
|
| gptkbp:quotientGroupWithItself |
itself
|
| gptkbp:usedIn |
group theory
|
| gptkbp:bfsParent |
gptkb:Gutai_group
|
| gptkbp:bfsLayer |
6
|