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Concept
Alternating Groups
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Summary
Alternating Groups
are the group of
Even permutations
of a
Finite Set
and are important in the study of
Symmetric Groups
and
Group Theory
. They are simple for
N ≥ 5
, meaning they have no
Nontrivial normal subgroups
, which makes them fundamental in the
Classification Of Finite Simple Groups
.
Concepts
Permutation
Symmetric Group
Simple Group
Normal Subgroup
Group Theory
Finite Group
Even Permutation
Factorial
Transposition
Cycle Notation
Classification Of Finite Simple Groups
Finite Simple Groups
Symmetric Groups
Relevant Degrees
Algebra 100%
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