Category:Group theory
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 26 subcategories, out of 26 total.
A
- Group automorphisms (8 P)
C
- Combinatorial group theory (23 P)
- Computational group theory (13 P)
- Coxeter groups (12 P)
F
- Functional subgroups (9 P)
G
- Galois theory (41 P)
- Group products (5 P)
I
- Infinite group theory (35 P)
M
- Moonshine theory (8 P)
O
- Ordered groups (12 P)
P
- P-groups (22 P)
R
S
- Subgroup properties (42 P)
- Subgroup series (9 P)
T
Pages in category "Group theory"
The following 200 pages are in this category, out of approximately 233 total. This list may not reflect recent changes.
(previous page) (next page)0–9
A
B
C
- Caesar cipher
- Cannon–Thurston map
- Category of abelian groups
- 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
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
- PT-group