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gptkbp:instanceOf
|
gptkb:algebra
|
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gptkbp:action
|
Group action
|
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gptkbp:automorphismGroup
|
Group automorphism
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gptkbp:centralTo
|
Center of a group
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gptkbp:containsElement
|
Identity element
Inverse element
Group element
|
|
gptkbp:defines
|
A set with a binary operation satisfying closure, associativity, identity, and invertibility
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gptkbp:field
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gptkb:Mathematics
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gptkbp:hasApplication
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gptkb:Algebraic_topology
gptkb:Linguistics
gptkb:Physics
gptkb:Symmetry
gptkb:geometry
gptkb:logic
gptkb:robot
gptkb:signal_processing
gptkb:Graph_theory
gptkb:Number_theory
gptkb:Topology
gptkb:Algebraic_geometry
gptkb:Crystallography
gptkb:Galois_theory
gptkb:Game_theory
gptkb:string_theory
gptkb:Control_theory
gptkb:Automata_theory
gptkb:Theoretical_computer_science
gptkb:Particle_physics
gptkb:Quantum_mechanics
gptkb:Error-correcting_codes
gptkb:Mathematical_economics
Chemistry
Economics
Information theory
Music theory
Computer science
Cryptography
Mathematical biology
Mathematical physics
Combinatorics
Coding theory
Mathematical linguistics
Molecular biology
Dynamical systems
Cryptanalysis
Algebraic combinatorics
Mathematical chemistry
Mathematical crystallography
Mathematical game theory
Mathematical information theory
Mathematical music theory
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gptkbp:hasAxiom
|
gptkb:Closure
Associativity
Identity element
Inverse element
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|
gptkbp:hasCommutator
|
Commutator subgroup
|
|
gptkbp:hasEndomorphism
|
Group endomorphism
|
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gptkbp:hasHomomorphism
|
Group homomorphism
|
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gptkbp:hasNormalSubgroup
|
Normal subgroup
|
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gptkbp:hasSuperstructure
|
gptkb:King
gptkb:Field
Monoid
Groupoid
|
|
gptkbp:hasType
|
gptkb:group_of_people
gptkb:Symmetric_group
gptkb:Lie_group
gptkb:Nilpotent_group
gptkb:Solvable_group
Abelian group
Simple group
Topological group
Infinite group
Cyclic group
Finite group
Direct product of groups
Free group
Non-abelian group
Permutation group
Semidirect product of groups
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https://www.w3.org/2000/01/rdf-schema#label
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Group (mathematics)
|
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gptkbp:isomorphicTo
|
gptkb:Group_isomorphism
|
|
gptkbp:isQuotientOf
|
Quotient group
|
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gptkbp:operator
|
Group operation
|
|
gptkbp:order
|
Order of a group
Order of an element
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|
gptkbp:presentedBy
|
Group presentation
|
|
gptkbp:represents
|
Group representation
|
|
gptkbp:studiedIn
|
gptkb:Abstract_algebra
|
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gptkbp:subunit
|
Subgroup
|
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gptkbp:bfsParent
|
gptkb:Group_isomorphism
|
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gptkbp:bfsLayer
|
7
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