cars - Category:Group theory

In mathematics, a group is a set, together with a binary operation satisfying certain axioms, detailed in the above article. The branch of mathematics which studies groups is called group theory.

Group theory is that branch of mathematics concerned with the study of groups.

Subcategories

There are 12 subcategories to this category.

Abelian group theory

Articles in category "Group theory"

There are 161 articles in this category.

Abelian group

Advanced modular arithmetic theory

Affine group

Amenable group

Artin group

B

BN pair
Baby-step giant-step
Bad group
Banach-Tarski paradox
Bimonster
Braid group
Burnside's problem

C

Caesar cipher
Category of abelian groups
Category of groups
Cayley graph
Center of a group
Central extension
Centralizer and normalizer
Character group
Characteristic subgroup
Class function
Classification of finite simple groups
Commensurable
Commutant
Complete group
Composition series
Congruence subgroup
Conjugacy class
Conjugate closure
Core (group)
Coset
Coset enumeration
Coxeter group
Crystallographic group
Cycle graph (group)
Cyclic group

D

Derived group
Diagonal subgroup
Dicyclic group
Dihedral group
Direct sum of groups
Discrete group
Discrete logarithm
Divisible group
Double coset

E

Elementary group theory
Elliptic curve
Equivariant
Erlangen program
Even and odd permutations
Examples of groups
Extension (algebra)

F

Feit-Thompson theorem
Finite
Finite group
Finitely generated abelian group
Fitting subgroup
Frattini subgroup
Free abelian group
Free group
Free product
Free regular set
Frieze group
Frieze pattern
Frobenius group

G

Galois group
Galois theory
Gell-Mann matrices
Generating set of a group
Geometric group theory
Glossary of group theory
Gromov's theorem on groups of polynomial growth
Group (mathematics)
Group action
Group cohomology
Group homomorphism
Group isomorphism
Group object
Group of Lie type
Group theory
Growth rate (group theory)

H

Hall-Janko graph
Hamiltonian group
Heisenberg group
Higman-Sims graph
Hilbert space
Hurwitz's automorphisms theorem
Hyperbolic group

I

Index calculus algorithm
Induced representation
Infinite conjugacy class property
Integer
Integer partition

L

Landau's function
Leech lattice
Lie group
Linear algebra
Linearly ordered group
List of finite simple groups
List of group theory topics
List of small groups

M

Maximal subgroup
Modular group
Modular representation theory
Monstrous moonshine
Multiplicative group

M cont.

Multiplicative group of integers modulo n

N

Nilpotent group
Normal series
Normal subgroup
Number

O

Order (group theory)
Outer automorphism group

P

P-group
PSL(2,7)
Permutation group
Presentation of a group
Principal homogeneous space
Pro-finite group
Product of groups
Prüfer rank

Q

Quasigroup
Quasisimple group
Quaternion group
Quotient group

R

Radical of an algebraic group
Rank of an abelian group
Real tree

S

Schnorr group
Schreier refinement theorem
Schreier's subgroup lemma
Schur multiplier
Scott core theorem
Semidirect product
Simple group
Solvable
Solvable group
Spectral sequence
Strong generating set
Subgroup
Subgroup growth
Subset sum problem
Symmetric group
System of imprimitivity

T

Tame group
Tarski monster group
Torsion subgroup
Transfer (group theory)
Transversal

V

Vector space

W

Wallpaper group
Weyl group
Whitehead problem
Word metric
Word problem for groups
Wreath product

Y

Young symmetrizer
Young tableau

Z

Zassenhaus group
Zassenhaus lemma

Categories: Abstract algebra