general linear group GL(3,2)
GPTKB entity
Statements (21)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:group_of_people
|
| gptkbp:actsOn |
gptkb:projective_plane_of_order_2
|
| gptkbp:automorphismGroup |
cyclic group of order 2
|
| gptkbp:centralTo |
trivial group
|
| gptkbp:defines |
group of all invertible 3x3 matrices over the finite field with 2 elements
|
| gptkbp:degree |
3
|
| gptkbp:field |
finite field of order 2
|
| gptkbp:hasSubgroup |
gptkb:symmetric_group_S4
alternating group A7 general linear group GL(3,3) |
| https://www.w3.org/2000/01/rdf-schema#label |
general linear group GL(3,2)
|
| gptkbp:isNonAbelian |
true
|
| gptkbp:isomorphicTo |
gptkb:PSL(2,7)
projective special linear group PSL(2,7) |
| gptkbp:isSimple |
true
|
| gptkbp:notation |
gptkb:GL(3,2)
|
| gptkbp:order |
168
|
| gptkbp:orderOfCenter |
1
|
| gptkbp:orderOfDerivedSubgroup |
168
|
| gptkbp:bfsParent |
gptkb:group_of_automorphisms_of_the_Fano_plane
|
| gptkbp:bfsLayer |
8
|