Projective Special Linear Group of 4x4 matrices over field with 3 elements

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:group_of_people
gptkbp:abbreviation PSL(4,3)
gptkbp:automorphismGroup some combinatorial structures
gptkbp:centralTo trivial group
gptkbp:field finite field with 3 elements
gptkbp:hasMinimalDegreePermutationRepresentation 40
gptkbp:hasSubgroup Projective General Linear Group of 4x4 matrices over field with 3 elements
https://www.w3.org/2000/01/rdf-schema#label Projective Special Linear Group of 4x4 matrices over field with 3 elements
gptkbp:isNonAbelian true
gptkbp:isPerfect true
gptkbp:isQuotientOf scalar matrices
Special Linear Group of 4x4 matrices over field with 3 elements
gptkbp:isSimple true
gptkbp:isTransitiveOn projective 3-space over field with 3 elements
gptkbp:notation gptkb:PSL_4(3)
gptkbp:order 25,920
gptkbp:relatedTo gptkb:geometry
linear algebraic groups
gptkbp:bfsParent gptkb:PSL_4(3)
gptkbp:bfsLayer 8