Symmetric Groups

December 18, 2010, 11:36

Filed under: Algebra, Math, Uncategorized | Tags: algebra, combinatorial, group theory, Math, symmetry

Filed under: Algebra, Math, Uncategorized | Tags: algebra, combinatorial, group theory, Math, symmetry

We’ve seen symmetric groups before. The symmetric group on an arbitrary set, or , is the group of bijections from the set to itself. As usual, we’re only interested in the finite case , which we call the **symmetric group on symbols**. These are pretty important finite groups, and so I hope you’ll accept my apology for writing a post just about their internal structure. The language we use to talk about symmetric groups ends up popping up all the time.

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