Group theory
ScienceWISE definitions
Subcategories
Concepts
- 2-group
- Absolutely convex set
- Absolutely simple group
- ADE classification
- Affine group
- Affine manifold
- Ahlfors finiteness theorem
- Artin group
- Baker-Campbell-Hausdorff formula
- Banach-Tarski paradox
- Bass-Serre theory
- Bender's method
- Bianchi group
- Bicommutant
- Bimonster group
- Bol loop
- Bruhat decomposition
- Buekenhout geometry
- Burnside's lemma
- Burnside's problem
- Burnside theorem
- Caesar cipher
- Capable group
- Carnot group
- Cartan decomposition
- Cartan-Dieudonné theorem
- Cartan's theorem
- Cartan subgroup
- Casimir operator
- Category of abelian groups
- Category of groups
- Cayley graph
- Cayley's theorem
- C closed subgroup
- Centralizer and normalizer
- CEP subgroup
- Characteristically simple group
- Characteristic subgroup
- Charts on SO
- Chevalley basis
- Circle group
- Class automorphism
- Class function
- Clifford-Klein form
- CN group
- Commutant
- Commutator subgroup
- Compact group
- Complex reflection group
- Conformal group
- Conformal invariance
- Congruence subgroup
- Conjugacy class
- Conjugacy class sum
- Conjugacy problem
- Conjugate closure
- Conjugation of isometries in Euclidean space
- Continuous symmetry
- Coset
- Coset enumeration
- Cosocle
- Covering group
- Coxeter number
- Cremona group
- Critical group
- Crystallographic restriction theorem
- Cycle graph
- Darboux derivative
- Demushkin group
- Diagonal subgroup
- Direct product of groups
- Direct sum of groups
- Discrete logarithm
- Discrete symmetry
- Double coset
- Dunkl operator
- E6
- E7
- E7½
- E8
- Ehlers group
- Einstein group
- Elementary group theory
- Embedding problem
- E_n
- Engel group
- Euclidean group
- Euclidean plane isometry
- Exceptional group F4
- Exceptional Lie group
- Extensible automorphism
- Fesenko group
- Fitting's theorem
- Fixed points of isometry groups in Euclidean space
- Frattini's argument
- Frattini subgroup
- Free group
- Free partially commutative group
- Free product
- Frobenius determinant theorem
