Group Theory
- Structure
- Group (mathematics)
- Elementary group theory
- Lagrange's theorem (group theory)
- Subgroup
- Coset
- Normal subgroup
- Characteristic subgroup
- Centralizer and normalizer subgroups
- Derived group
- Frattini subgroup
- Fitting subgroup
- Classification of finite simple groups
- Sylow theorems
- Local analysis
- Constructions
- Free group
- Presentation of a group
- Word problem for groups
- Quotient group
- Extension problem
- Direct sum, direct product
- Semidirect product
- Wreath product
- Types
- Simple group
- Finite group
- Abelian group
- Torsion subgroup
- Free abelian group
- Finitely generated abelian group
- Rank of an abelian group
- Cyclic group
- Locally cyclic group
- Solvable group
- Composition series
- Nilpotent group
- Divisible group
- Dedekind group, Hamiltonian group
- Examples
- Examples of groups
- Permutation group
- Symmetric group
- Alternating group
- p-group
- List of small groups
- Klein four-group
- Quaternion group
- Dihedral group
- Dicyclic group
- Automorphism group
- Point group
- Applications
- Group action
- Conjugacy class
- Inner automorphism
- Conjugate closure
- Stabilizer subgroup
- Orbit (group theory)
- Orbit-stabilizer theorem
- Cayley's theorem
- Burnside's lemma
- Burnside's problem
- Loop group
- Fundamental group
Read more about this topic: List Of Abstract Algebra Topics
Famous quotes containing the words group and/or theory:
“The virtue of dress rehearsals is that they are a free show for a select group of artists and friends of the author, and where for one unique evening the audience is almost expurgated of idiots.”
—Alfred Jarry (1873–1907)
“The great tragedy of science—the slaying of a beautiful theory by an ugly fact.”
—Thomas Henry Huxley (1825–1895)