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Concept
Symmetric Group
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Summary
The
symmetric group
, denoted as S_n, is the group of all
permutations of a finite set
of n elements, capturing the
essence of symmetry
through its structure. It plays a fundamental role in
group theory
, serving as a cornerstone for understanding
permutation groups
and providing insights into the
algebraic properties
of
symmetries in mathematics
and physics.
Relevant Degrees
Algebra 100%
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