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 54 subcategories, out of 54 total.

A

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

D

► Dihedral Groups‎ (4 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 Symmetry Groups‎ (5 C)

F

► Fischer-Griess Monster‎ (1 P)

G

► Gaussian Integers‎ (3 C, 9 P)
► General Linear Group‎ (10 P)
► Group/Examples/inv x = 1 - x‎ (3 P)
► Groups of Order 10‎ (1 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 15‎ (1 C, 3 P)
► Groups of Order 16‎ (1 P)
► Groups of Order 17‎ (1 P)
► Groups of Order 2‎ (2 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, 2 P)
► Groups of Order 30‎ (6 P)
► Groups of Order 32‎ (1 P)
► Groups of Order 35‎ (1 C, 1 P)
► Groups of Order 4‎ (2 C, 1 P)
► Groups of Order 40‎ (1 P)
► Groups of Order 42‎ (1 P)
► Groups of Order 48‎ (1 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 (1 C, 3 P)
► Multiplicative Group of Complex Numbers‎ (7 P)
► Multiplicative Group of Rational Numbers‎ (2 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 (16 C, 61 P)
► Symmetry Groups‎ (4 C, 5 P)

T

► Trivial Group‎ (7 P)

Pages in category "Examples of Groups"

The following 36 pages are in this category, out of 36 total.

A

Automorphism Group is Subgroup of Symmetric Group

C

G

H

I

M

N

O

Odd Integers under Multiplication do not form Group

R

S

U

Units of Field of Complex Numbers form Group

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