An alternating group is the group of even permutations of a finite set. The alternating group on a set of n elements is called the alternating group of degree n, or the alternating group on n letters, and is denoted An or Alt(n).
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Source Wikipedia: Alternating group
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1. Wikipedia: Alternating group
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In mathematics, an alternating group is the group of even permutations of a finite set.
Attributed To: Lodovico Ferrari, Lead
In Galois theory, this map, or rather the corresponding map S4 → S3, corresponds to associating the Lagrange resolvent cubic to a quartic, which allows the quartic polynomial to be solved by radicals, as established by Lodovico Ferrari.
View the SourceWolfram MathWorld: Alternating Group
Wolfram MathWorldIn Branch: Group Theory, Subject classificationsQuote, In Branch: Group Theory, Subject classifications
Algebra Group Theory
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