Category:Standard terminology
This is a category (or supercategory) listing a broad class of terms/terminology, with definitions and further information. | View other term categories
This category lists terminology that is standard in group theory, or related topics. It includes basic definitions, semi-basic definitions, and standard non-basic definitions.
Subcategories
This category has the following 8 subcategories, out of 8 total.
B
Pages in category "Standard terminology"
The following 200 pages are in this category, out of 260 total. The count includes redirect pages that have been included in the category. Redirect pages are shown in italics.
(previous page) (next page)A
- Abelian group
- Abelian normal subgroup
- Abelian series
- Abnormal subgroup
- Additive group of a field
- Agemo subgroups of a p-group
- Algebraic group
- Algebraic torus
- Alternating group
- APS homomorphism
- APS of groups
- Arithmetic function on groups
- Associative algebra
- Associative ring
- Automorphism group of a field
- Automorphism group of a group
- Automorphism of a field
- Automorphism of a group
C
- C-group
- C-normal subgroup
- Carter subgroup
- Center
- Centerless group
- Central factor
- Central functor
- Central subgroup
- CEP-subgroup
- Character of a linear representation
- Character table
- Characteristic closure
- Characteristic core
- Characteristic subgroup
- Characteristically simple group
- Coalgebra
- Cochain complex for a group action
- Cohomology group
- Commutative binary operation
- Commutative monoid
- Commutative ring
- Compact group
- Complemented normal subgroup
- Complete group
- Completely reducible linear representation
- Complex Lie group
- Congruence on a group
- Conjugacy class
- Conjugacy-separable group
- Connected group for logicians
- Core-free group
- Coxeter group
- Critical subgroup
- Cyclic group
- Cyclic linear code
- Cyclonormal subgroup
D
E
F
- Faithful linear representation
- FC-center
- Field
- Field extension norm
- Field extension trace
- Finitary alternating group
- Finite field
- Finite field extension
- Finite group
- Finite simple group
- Finite-dimensional linear representation
- Finitely generated free group
- Finitely generated group
- Finitely presented group
- Finitely terminating rewriting system
- First cohomology group
- Fitting-free group
- Focal series of a subgroup
- Free group
- Free product
- Fully invariant closure
- Fully invariant subgroup
- Fully normalized subgroup
G
- G-linear map
- Galois group
- Galois group of a polynomial
- General affine group
- Generalized Fitting subgroup
- Graph product of groups
- Group
- Group action
- Group homomorphism factors through group
- Group of nilpotency class two
- Group of units of a monoid
- Group satisfying subnormal join property
- Gyro-twisted subgroup
H
I
- IA-automorphism
- IAPS of groups
- Improper subgroup
- Indecomposable linear representation
- Index of a subgroup
- Induced representation
- Injective homomorphism
- Inner automorphism
- Inner automorphism group
- Integral domain
- Internal direct product
- Internal semidirect product
- Invariant subspace for a linear representation
- Involution fusion pattern
- Irreducible character of a linear representation
- Irreducible linear representation
- Isogeny of algebraic groups
- Isomorphic groups
- Isomorphic linear representations
- Isomorphism of fields
- Isomorphism of groups
- Isomorphism of monoids
K
L
M
- Malnormal subgroup
- Maximal factorization
- Maximal normal subgroup
- Maximal subgroup
- Maximum of element orders
- Metabelian group
- Metanilpotent group
- Minimal characteristic subgroup
- Minimal generating set
- Minimal group
- Minimal normal subgroup
- Minimal rewriting system
- Minimal simple group
- Modular maximal-cyclic group
- Monoid
- Monoid atom
- Monomial group
- Multiplication table of a finite group