Statements (28)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
group table
|
| gptkbp:appliesTo |
finite groups
magmas semigroups |
| gptkbp:columnsRepresent |
group elements
|
| gptkbp:describes |
binary operation
|
| gptkbp:entriesRepresent |
product of row and column elements
|
| gptkbp:firstDescribed |
gptkb:Arthur_Cayley
1854 |
| https://www.w3.org/2000/01/rdf-schema#label |
Cayley table
|
| gptkbp:namedAfter |
gptkb:Arthur_Cayley
|
| gptkbp:property |
associativity visible in table
identity element appears in every row and column each element appears exactly once in each row and column (for groups) |
| gptkbp:relatedTo |
gptkb:Latin_square
multiplication table |
| gptkbp:rowsRepresent |
group elements
|
| gptkbp:structure |
square matrix
|
| gptkbp:supports |
checking commutativity
finding subgroups identifying group properties |
| gptkbp:usedFor |
classifying small groups
teaching abstract algebra |
| gptkbp:usedIn |
group theory
|
| gptkbp:visualizes |
gptkb:algebra
|
| gptkbp:bfsParent |
gptkb:Arthur_Cayley
|
| gptkbp:bfsLayer |
5
|