GL(n, Z2)

GPTKB entity

Properties (45)
Predicate Object
gptkbp:instanceOf Group
gptkbp:associatedWith (2^n - 1)(2^n - 2)(2^n - 4)...(2^n - 2^(n-1))
gptkbp:contains Invertible Matrices
gptkbp:field n^2
gptkbp:hasNationality Inverse Matrix
gptkbp:hasPatentNumber gptkb:Identity_Matrix
gptkbp:hasSubsidiary gptkb:Center_of_GL(n,_Z2)
gptkb:SL(n,_Z2)
https://www.w3.org/2000/01/rdf-schema#label GL(n, Z2)
gptkbp:isA gptkb:General_Linear_Group
gptkbp:isAccessibleBy True
gptkbp:isAttendedBy Symmetric_Group_for_n=2
gptkbp:isCharacterizedBy Invertibility
Matrix Rank
Determinant not equal to zero
Full Rank
Non-singular Matrices
Rank_n
gptkbp:isLocatedIn Scalar Multiplication
Matrix Transposition
Matrix Addition
Matrix Multiplication
Matrix Inversion
Direct Sum
gptkbp:isMaintainedBy Elementary Matrices
gptkbp:isMarriedTo True
gptkbp:isRelatedTo Abstract Algebra
Representation Theory
Algebraic Structures
Finite Fields
Matrix Theory
Linear_Algebra
gptkbp:isRepresentedIn Binary Matrices
n^2 binary digits
Linear_Transformations
Matrices_with_entries_in_Z2
n_x_n_matrices_over_Z2
gptkbp:isUsedIn Cryptography
Signal Processing
Error Correction Codes
Graph Theory
Network Theory
Coding Theory
Combinatorial_Designs
gptkbp:isValuedFor Field Z2