Properties (56)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
group
|
| gptkbp:associatedWith |
2^(n^2 - 1)
|
| gptkbp:field |
n(n-1)/2
|
| gptkbp:hasSubsidiary |
A_n
B_n D_n C_n PGL(n, Z2) |
| https://www.w3.org/2000/01/rdf-schema#label |
SL(n, Z2)
|
| gptkbp:isA |
Lie group
finite group simple group matrix group subgroup of GL(n, Z2) algebraic_group special_linear_group |
| gptkbp:isAttendedBy |
Z2^(n-1)
|
| gptkbp:isCharacterizedBy |
abelian property
associativity group operation homomorphism isomorphism matrix multiplication n x n matrices Burnside's lemma orbit-stabilizer theorem identity element Sylow theorems cohomology theory invertibility character theory representation theory of groups automorphism endomorphism closure property determinant equals 1 finite order group action group homology inverse element non-abelian property normal subgroup simple group property linear_transformations entries_in_Z2 |
| gptkbp:isMaintainedBy |
elementary matrices
|
| gptkbp:isRelatedTo |
linear_algebra
|
| gptkbp:isUsedIn |
cryptography
geometry number theory representation theory algebraic topology coding theory group theory combinatorial design |
| gptkbp:isValuedFor |
Z2
|