Skip to the content

Math 2.0

Group theory and generalizations Group actions and permutation groups Concept

Alternating group

Summary

The alternating group $A_n$ is the group of the even permutations of $n$ symbols. It is a normal subgroup of index $2$ in $S_n$ for $n \geq 2$ .

Where this leads

6 pages build on this one.

Further reading

Web https://en.wikipedia.org/wiki/Alternating_group, lead section

About this page

Tag	`0Z5905Q73D`
URI	`m2://0Z5905Q73D`
Kind	concept
Writing	W1 stated
MSC	20B30
Specializes	Group
Same as	Wikidata Q438814 Wikipedia Alternating group

Markdown · JSON · Edit on GitHub

What this page needs for W2

edge instance_of in: at least two examples (1 of 2)
edge not_instance_of in: at least one non-example (0 of 1)

The writing levels say how complete the text of a page is. They do not measure its truth.

What links here

Instances

The alternating group A5 is simple

Definitions

Alternating group

Used by

Results about this

Jordan's theorem on primitive groups containing a prime cycle