Category:Definitions/Examples of Groups

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This category contains definitions of examples of groups.

A group is a semigroup with an identity (that is, a monoid) in which every element has an inverse.

Subcategories

This category has the following 31 subcategories, out of 31 total.

A

Definitions/Additive Groups of Integers Modulo m‎ (2 P)
Definitions/Affine Groups‎ (1 C)
Definitions/Alternating Groups‎ (3 P)

C

Definitions/Circle Group‎ (3 P)

D

Definitions/Dicyclic Groups‎ (2 C, 2 P)
Definitions/Dihedral Groups‎ (1 C, 1 P)

E

Definitions/Examples of Cyclic Groups‎ (4 C, 5 P)
Definitions/Examples of Dihedral Groups‎ (2 C, 13 P)
Definitions/Examples of Infinite Groups‎ (1 C, 10 P)
Definitions/Examples of Symmetric Groups‎ (3 P)
Definitions/Examples of Symmetry Groups‎ (2 C, 11 P)

F

Definitions/Fischer-Griess Monster‎ (5 P)
Definitions/Frieze Groups‎ (1 P)

G

Definitions/Galois Groups‎ (2 C, 3 P)
Definitions/Galois Groups of Field Extensions‎ (1 C, 7 P)
Definitions/General Linear Group‎ (1 C, 4 P)
Definitions/Groups of Order 10‎ (1 P)
Definitions/Groups of Order 12‎ (1 P)
Definitions/Groups of Order 2‎ (4 P)
Definitions/Groups of Order 4‎ (1 C, 6 P)
Definitions/Groups of Order 6‎ (2 P)
Definitions/Groups of Order 8‎ (1 C, 2 P)

H

Definitions/Homology Groups‎ (1 C, 2 P)

M

Definitions/Matrix Groups‎ (4 C, 7 P)

O

Definitions/Orthogonal Groups‎ (2 C, 3 P)

Q

Definitions/Quaternion Group‎ (3 P)

S

Definitions/Space Groups‎ (4 P)
Definitions/Special Linear Group‎ (2 P)
Definitions/Symmetric Groups‎ (4 C, 13 P)
Definitions/Symmetry Groups‎ (1 C, 3 P)

T

Definitions/Trivial Group‎ (1 P)

Pages in category "Definitions/Examples of Groups"

The following 30 pages are in this category, out of 30 total.

A

B

Definition:Braid Group

C

Definition:Circle Group

D

F

G

H

Definition:Homology Group

O

P

Definition:Parity Group

Q

Definition:Quaternion Group

S

T

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