Wikimedia Commons has media related to
Group theory.
In mathematics, a group is a set, together with a binary operation satisfying certain axioms, detailed in the group article.
Subcategories
This category has the following 27 subcategories, out of 27 total.
A
- Group automorphisms (9 P)
C
- Combinatorial group theory (25 P)
- Computational group theory (13 P)
- Coxeter groups (12 P)
F
- Functional subgroups (9 P)
G
- Galois theory (44 P)
- Group products (5 P)
I
- Infinite group theory (36 P)
M
- Moonshine theory (9 P)
O
- Ordered groups (12 P)
P
- P-groups (22 P)
R
S
- Subgroup properties (42 P)
- Subgroup series (9 P)
T
Σ
- Group theory stubs (113 P)
Pages in category "Group theory"
The following 200 pages are in this category, out of approximately 238 total. This list may not reflect recent changes.
(previous page) ( next page)0–9
A
B
C
- Caesar cipher
- Cannon–Thurston map
- Category of groups
- Cayley graph
- Center (group theory)
- Centralizer and normalizer
- Character group
- Character table
- Class automorphism
- Class function
- Class of groups
- Classification of finite simple groups
- CN-group
- Co-Hopfian group
- Cohomological dimension
- Commutator
- Commutator subgroup
- Complement (group theory)
- Complex reflection group
- Component (group theory)
- Conjugacy class
- Conjugacy class sum
- Conjugacy problem
- Conjugation of isometries in Euclidean space
- Convergence group
- Core (group theory)
- Coset
- Cosocle
- Coxeter complex
- Coxeter notation
- Cremona group
- Crystallographic restriction theorem
- Curie's principle
- Cycle graph (algebra)
D
E
F
- Factor system
- Fibonacci group
- List of finite simple groups
- List of spherical symmetry groups
- Finite subgroups of SU(2)
- Finitely generated group
- Finiteness properties of groups
- Fixed points of isometry groups in Euclidean space
- Formation (group theory)
- Frattini subgroup
- Free partially commutative group
G
- G-module
- Gain group
- Generalized dihedral group
- Generalized polygon
- Generating set of a group
- Geometric group theory
- Grigorchuk group
- Group action
- Group analysis of differential equations
- Group cohomology
- Group extension
- Group homomorphism
- Group isomorphism
- Group isomorphism problem
- Group object
- Group of Lie type
- Group representation
- Group structure and the axiom of choice
H
- Hall–Janko graph
- Hall's identity
- Hanna Neumann conjecture
- Heisenberg group
- Hesse's principle of transfer
- Hidden subgroup problem
- Higman group
- Higman–Sims asymptotic formula
- Higman–Sims graph
- History of group theory
- HNN extension
- Holomorph (mathematics)
- Homeomorphism group
- Hopfian object
- Howson property
I
L
M
N
O
P
- P-compact group
- P-group generation algorithm
- Parity of a permutation
- Perfect core
- Picard modular group
- Point group
- Point groups in three dimensions
- Point groups in two dimensions
- Polar point group
- Polish group
- Pontryagin product
- Power automorphism
- Power closed
- Principal homogeneous space
- Principal ideal theorem
- Principalization (algebra)
- Projective representation
- Prosolvable group
- PT-group
Wikimedia Commons has media related to
Group theory.
In mathematics, a group is a set, together with a binary operation satisfying certain axioms, detailed in the group article.
Subcategories
This category has the following 27 subcategories, out of 27 total.
A
- Group automorphisms (9 P)
C
- Combinatorial group theory (25 P)
- Computational group theory (13 P)
- Coxeter groups (12 P)
F
- Functional subgroups (9 P)
G
- Galois theory (44 P)
- Group products (5 P)
I
- Infinite group theory (36 P)
M
- Moonshine theory (9 P)
O
- Ordered groups (12 P)
P
- P-groups (22 P)
R
S
- Subgroup properties (42 P)
- Subgroup series (9 P)
T
Σ
- Group theory stubs (113 P)
Pages in category "Group theory"
The following 200 pages are in this category, out of approximately 238 total. This list may not reflect recent changes.
(previous page) ( next page)0–9
A
B
C
- Caesar cipher
- Cannon–Thurston map
- Category of groups
- Cayley graph
- Center (group theory)
- Centralizer and normalizer
- Character group
- Character table
- Class automorphism
- Class function
- Class of groups
- Classification of finite simple groups
- CN-group
- Co-Hopfian group
- Cohomological dimension
- Commutator
- Commutator subgroup
- Complement (group theory)
- Complex reflection group
- Component (group theory)
- Conjugacy class
- Conjugacy class sum
- Conjugacy problem
- Conjugation of isometries in Euclidean space
- Convergence group
- Core (group theory)
- Coset
- Cosocle
- Coxeter complex
- Coxeter notation
- Cremona group
- Crystallographic restriction theorem
- Curie's principle
- Cycle graph (algebra)
D
E
F
- Factor system
- Fibonacci group
- List of finite simple groups
- List of spherical symmetry groups
- Finite subgroups of SU(2)
- Finitely generated group
- Finiteness properties of groups
- Fixed points of isometry groups in Euclidean space
- Formation (group theory)
- Frattini subgroup
- Free partially commutative group
G
- G-module
- Gain group
- Generalized dihedral group
- Generalized polygon
- Generating set of a group
- Geometric group theory
- Grigorchuk group
- Group action
- Group analysis of differential equations
- Group cohomology
- Group extension
- Group homomorphism
- Group isomorphism
- Group isomorphism problem
- Group object
- Group of Lie type
- Group representation
- Group structure and the axiom of choice
H
- Hall–Janko graph
- Hall's identity
- Hanna Neumann conjecture
- Heisenberg group
- Hesse's principle of transfer
- Hidden subgroup problem
- Higman group
- Higman–Sims asymptotic formula
- Higman–Sims graph
- History of group theory
- HNN extension
- Holomorph (mathematics)
- Homeomorphism group
- Hopfian object
- Howson property
I
L
M
N
O
P
- P-compact group
- P-group generation algorithm
- Parity of a permutation
- Perfect core
- Picard modular group
- Point group
- Point groups in three dimensions
- Point groups in two dimensions
- Polar point group
- Polish group
- Pontryagin product
- Power automorphism
- Power closed
- Principal homogeneous space
- Principal ideal theorem
- Principalization (algebra)
- Projective representation
- Prosolvable group
- PT-group