Category:Properties of groups
 | Computing portal |
Here is a list of articles in the category Properties of groups of the Computing portal that unifies foundations of mathematics and computations using computers. A group property is something that every group either satisfies or does not satisfy. Group properties must satisfy the condition of isomorphism invariance: if [math]G_1[/math] and [math]G_2[/math] are two isomorphic groups, they either both have the property or both do not have the property.
Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Properties of groups"
The following 85 pages are in this category, out of 85 total.
- List of group theory topics (computing)
A
- A-group (computing)
- Abelian group (computing)
- Absolutely simple group (computing)
- Acyclic group (computing)
- Algebraic group (computing)
- Algebraically closed group (computing)
- Algebraically compact group (computing)
- Almost simple group (computing)
- Artin group (computing)
- Automatic group (computing)
B
- Baer group (computing)
C
- CA-group (computing)
- Capable group (computing)
- Characteristically simple group (computing)
- Class of groups (computing)
- CN-group (computing)
- Complemented group (computing)
- Complete group (computing)
- Cotorsion group (computing)
- Critical group (computing)
- Cyclic group (computing)
D
- Dedekind group (computing)
- Dihedral group (computing)
- Divisible group (computing)
E
- Elementary amenable group (computing)
- Elementary group (computing)
F
- FC-group (computing)
- Finite group (computing)
- Finitely generated group (computing)
- Free abelian group (computing)
- Free group (computing)
- Free-by-cyclic group (computing)
G
- Gromov boundary (computing)
H
- HN group (computing)
- Hopfian group (computing)
- Hyperbolic group (computing)
I
- Imperfect group (computing)
- Infinite conjugacy class property (computing)
- Iwasawa group (computing)
L
- Locally cyclic group (computing)
- Locally finite group (computing)
M
- Metabelian group (computing)
- Metacyclic group (computing)
- Metanilpotent group (computing)
- Monomial group (computing)
- Monothetic group (computing)
N
- Nice subgroup (computing)
- Nielsen–Schreier theorem (computing)
- Nilpotent group (computing)
- Non-abelian group (computing)
P
- P-constrained group (computing)
- P-soluble group (computing)
- Parafree group (computing)
- Perfect group (computing)
- Polycyclic group (computing)
- Powerful p-group (computing)
- Pro-p group (computing)
- Prosolvable group (computing)
Q
- Quasisimple group (computing)
R
- Random group (computing)
- Regular p-group (computing)
- Representation rigid group (computing)
- Residual property (mathematics) (computing)
- Residually finite group (computing)
S
- Serre's property FA (computing)
- Simple group (computing)
- Slender group (computing)
- Sofic group (computing)
- Solvable group (computing)
- SQ-universal group (computing)
- Stable group (computing)
- Strictly simple group (computing)
- Subdirectly irreducible algebra (computing)
- Superperfect group (computing)
- Surjunctive group (computing)
T
- T-group (mathematics) (computing)
- Tame group (computing)
- Thin group (combinatorial group theory) (computing)
- Torsion group (computing)
- Torsion-free abelian group (computing)
- Triangle group (computing)
- Triple product property (computing)
W
- Word metric (computing)
Z
- Z-group (computing)
Mathematics
Organizations
Books
About