by

Ciro Santilli (@cirosantilli, 34)

Alternating group ( $A_{n}$ )

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
- Alternating group of degree 5 Alternating group
  - The alternating groups of degree 5 or greater are simple Alternating group of degree 5

Alternating group of degree 5

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The alternating groups of degree 5 or greater are simple

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www.youtube.com/watch?v=U_618kB6P1Q GT18.2. A_n is Simple (n ge 5) by MathDoctorBob (2012)

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Alternating group by

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