Category:Definitions/Group Theory
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This category contains definitions related to Group Theory.
Related results can be found in Category:Group Theory.
Group theory is a branch of abstract algebra which studies groups and other related algebraic structures.
Subcategories
This category has the following 59 subcategories, out of 59 total.
A
B
- Definitions/Braid Theory (2 P)
- Definitions/Bravais Lattices (1 P)
C
- Definitions/Cayley Tables (7 P)
- Definitions/Centralizers (9 P)
- Definitions/Cosets (15 P)
D
E
F
- Definitions/Fedorov Groups (3 P)
- Definitions/Free Groups (6 P)
- Definitions/Friezes (1 P)
G
- Definitions/Group Words (10 P)
- Definitions/Groups (2 P)
I
L
M
N
O
- Definitions/Order of Groups (3 P)
P
- Definitions/Point Groups (1 P)
Q
- Definitions/Quotient Groups (4 P)
R
S
- Definitions/Solvable Groups (3 P)
T
- Definitions/Tessellations (3 P)
Pages in category "Definitions/Group Theory"
The following 157 pages are in this category, out of 157 total.
A
C
- Definition:Category of Abelian Groups
- Definition:Category of Groups
- Definition:Category of Topological Groups
- Definition:Center (Abstract Algebra)
- Definition:Center (Abstract Algebra)/Group
- Definition:Center of Group
- Definition:Central Product
- Definition:Centralizer
- Definition:Characteristic Subset
- Definition:Characterization Theorem
- Definition:Closed under Inversion
- Definition:Coherent Sequence of Inverse System of Groups
- Definition:Commutative/Set
- Definition:Commutator of Group Elements
- Definition:Commutator/Group
- Definition:Complex (Abstract Algebra)
- Definition:Complex (Group Theory)
- Definition:Computational Group Theory
- Definition:Congruence Modulo Subgroup
- Definition:Congruence Modulo Subgroup/Additive Group of Ring
- Definition:Conjugate (Group Theory)
- Definition:Conjugate (Group Theory)/Element
- Definition:Conjugate Closure of Subset of Group
- Definition:Conjugate of Group Element
- Definition:Conjugate of Group Subset
- Definition:Coset
- Definition:Countably Infinite Group
- Definition:Cycle Decomposition
- Definition:Cycle Notation
- Definition:Cycle Type
- Definition:Cyclic Group
D
- Definition:Decomposable Group
- Definition:Derived Subgroup
- User:Dfeuer/Definition:Positive Cone
- User:Dfeuer/Definition:Strict Total Positive Cone
- User:Dfeuer/Definition:Strictly Positive Cone
- User:Dfeuer/Definition:Total Positive Cone
- Definition:Direct Limit of Sequence of Groups
- Definition:Divisible Abelian Group
F
G
- Definition:Generalized Sum
- Definition:Generalized Sum/Absolute Net Convergence
- Definition:Generalized Sum/Net Convergence
- Definition:Generator of Group
- Definition:Generator of Subgroup
- Definition:Gradation on Abelian Group
- Definition:Group
- Definition:Group Action by Homeomorphisms
- Definition:Group Antihomomorphism
- Definition:Group Decomposition
- Definition:Group Defined by Presentation
- Definition:Group Direct Product
- Definition:Group Direct Product/Finite Product
- Definition:Group Direct Product/General Definition
- Definition:Group Homomorphism
- Definition:Group Law
- Definition:Group Operation
- Definition:Group Presentation
- Definition:Group Product
- Definition:Group Product/Group Law
- Definition:Group Product/Product Element
- Definition:Group Ring
- Definition:Group Theory
- Definition:Group Type
I
- Definition:Identity Element
- Definition:Identity Element of Group
- Definition:Identity of Group
- Definition:Independent Subgroups
- Definition:Independent Subgroups/Definition 1
- Definition:Independent Subgroups/Definition 2
- Definition:Index of Subgroup
- Definition:Indicator of Group Element
- Definition:Infinite Group
- Definition:Inner Semidirect Product
- Definition:Internal Group Direct Product
- Definition:Inverse Limit of Inverse System of Groups
- Definition:Inverse of Subset of Group
- Definition:Inverse of Subset/Group
- Definition:Inverse System of Groups
- Definition:Inversion Mapping
O
P
- Definition:P-Element
- Definition:P-Group
- Definition:P-Subgroup
- Definition:Permutable Subgroups
- Definition:Permutation Group
- Definition:Permutation/Ordered Selection
- Definition:Point Group
- Definition:Point Lattice
- Definition:Power of Element/Group
- Definition:Power of Group Element
- Definition:Prime Group
- Definition:Product (Abstract Algebra)/Group
- Definition:Product Element
- Definition:Product Inverse Operation
- Definition:Proper Group Action
- Definition:Pullback of Quotient Group Isomorphism