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The 13 pages that link to Alternating group, each with the reason it gives.

• PermutationBroader topic: It consists exactly of the permutations with even parity.

• Finite groupBroader topic: Alternating groups are central examples in the classification of finite simple groups.

• Permutation groupBroader topic: It is a fundamental subgroup of the symmetric group.

• Symmetric groupBroader topic: It captures the permutations of even parity within Sₙ.

• Simple groupBroader topic: Alternating groups of degree at least five are simple.

• Composition seriesBroader topic: For degree at least five, it is a central nonabelian simple composition factor.

• Finite simple groupBroader topic: Alternating groups of degree at least five form an infinite family of nonabelian examples.

• Solvable groupBroader topic: The alternating group on five symbols is the smallest nonabelian simple group and is not solvable.

• Inverse Galois problemBroader topic: Alternating groups occur as Galois groups and form a major family of simple examples.