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Alternating group ( $A_{n}$ )

| 🗖 nosplit | ↑ parent "Permutation group" | words: 52 | descendant words: 72 | descendants: 2

🗖 nosplit | ⇓ toc | ↑ parent "Permutation group" | Wikipedia | words: 52 | descendant words: 72 | descendants: 2

Group of even permutations.

Note that odd permutations don't form a subgroup of the symmetric group like the even permutations do, because the composition of two odd permutations is an even permutation.

Table of contents | 52, 72, 2
- 1. Alternating group of degree 5 | 0, 20, 1 | 🔗 link | 🗖 nosplit | ↑ parent "Alternating group"
  - 1.1. The alternating groups of order 5 or greater are simple | 20 | 🔗 link | 🗖 nosplit | ↑ parent "Alternating group of degree 5"

Ancestors

Permutation group | 0, 224, 6
Permutation | 0, 304, 11
Important discrete mathematical group | 0, 425, 18
Important mathematical group | 0, 425, 19
Group | 0, 5k, 89
Algebra | 0, 8k, 171
Mathematics | 17, 28k, 633
Ciro Santilli's Homepage | 262, 218k, 4k

Incoming links

Chevalley groups $A_{n} (q)$ | 68
Classification of finite simple groups | 186, 949, 23
Group of Lie type | 199, 267, 2
Mathieu group | 239, 427, 13