Category:Examples of Groups

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This category contains examples of Group.

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 57 subcategories, out of 57 total.

A

Additive Groups of Integers Modulo m‎ (2 C, 11 P)
Affine Groups‎ (1 C, 6 P)

D

Dihedral Groups‎ (5 C, 12 P)

E

Examples of Abelian Groups‎ (14 C, 14 P)
Examples of Affine Groups‎ (empty)
Examples of Cyclic Groups‎ (11 C, 10 P)
Examples of Dicyclic Groups‎ (2 C)
Examples of Groups/x+y over 1+xy‎ (4 P)
Examples of Infinite Groups‎ (6 C, 10 P)
Examples of Permutation Groups‎ (2 P)
Examples of Symmetry Groups‎ (7 C)

F

Fischer-Griess Monster‎ (1 P)

G

Gaussian Integers‎ (4 C, 10 P)
General Linear Group‎ (10 P)
Group/Examples/inv x = 1 - x‎ (3 P)
Groups of Order 10‎ (2 C, 1 P)
Groups of Order 100‎ (1 P)
Groups of Order 105‎ (2 P)
Groups of Order 12‎ (2 C, 4 P)
Groups of Order 120‎ (1 C)
Groups of Order 15‎ (1 C, 3 P)
Groups of Order 16‎ (1 P)
Groups of Order 17‎ (empty)
Groups of Order 2‎ (3 C, 2 P)
Groups of Order 2 p‎ (3 C, 5 P)
Groups of Order 21‎ (2 P)
Groups of Order 24‎ (1 C, 2 P)
Groups of Order 27‎ (1 P)
Groups of Order 28‎ (1 P)
Groups of Order 3‎ (1 C, 3 P)
Groups of Order 30‎ (6 P)
Groups of Order 32‎ (1 P)
Groups of Order 35‎ (1 C, 1 P)
Groups of Order 36‎ (1 P)
Groups of Order 4‎ (2 C, 2 P)
Groups of Order 40‎ (1 P)
Groups of Order 42‎ (1 P)
Groups of Order 48‎ (2 P)
Groups of Order 54‎ (1 P)
Groups of Order 56‎ (1 P)
Groups of Order 6‎ (5 C, 6 P)
Groups of Order 60‎ (1 P)
Groups of Order 8‎ (3 C, 3 P)
Groups of Order p q‎ (4 C, 5 P)
Groups of Order p^2‎ (2 P)
Groups of Order p^2 q‎ (2 C, 2 P)

M

Matrix Entrywise Addition forms Abelian Group‎ (1 C, 4 P)
Matrix Groups‎ (2 C, 3 P)
Multiplicative Group of Complex Numbers‎ (10 P)
Multiplicative Group of Rational Numbers‎ (3 P)

N

Natural Numbers under Multiplication do not form Group‎ (3 P)

O

Opposite Groups‎ (5 P)
Orthogonal Groups‎ (5 P)

S

Special Linear Group‎ (5 P)
Symmetric Groups‎ (17 C, 62 P)
Symmetry Groups‎ (4 C, 5 P)

T

Trivial Group‎ (8 P)

Pages in category "Examples of Groups"

The following 41 pages are in this category, out of 41 total.

A

Automorphism Group is Subgroup of Symmetric Group

C

G

H

I

M

N

O

Odd Integers under Multiplication do not form Group

P

R

S

U

Units of Field of Complex Numbers form Group

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