Category:Finite Groups

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This category contains results about Finite Groups.
Definitions specific to this category can be found in Definitions/Finite Groups.

A finite group is a group of finite order.

That is, a group $\struct {G, \circ}$ is a finite group if and only if its underlying set $G$ is finite.

Subcategories

This category has the following 9 subcategories, out of 9 total.

C

Composition Series‎ (3 C, 6 P)

E

Element of Finite Group is of Finite Order‎ (3 P)
Even Order Group has Order 2 Element‎ (3 P)

F

Finite Cyclic Groups‎ (5 C, 11 P)
Finite Group has Composition Series‎ (3 P)

O

Order of Finite Abelian Group with p+ Order p Elements is Divisible by p^2‎ (5 P)
Order of Finite p-Group is Power of p‎ (3 P)
Order of Group Elements‎ (9 C, 41 P)

S

Sporadic Groups‎ (1 C, 1 P)

Pages in category "Finite Groups"

The following 20 pages are in this category, out of 20 total.

A

Abelian Group of Semiprime Order is Cyclic

B

Burnside's Theorem

C

E

F

G

Group is Finite iff Finite Number of Subgroups

O

S

Subgroup of Index Least Prime Divisor is Normal

U

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Group Theory